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Give step-by-step solution with explanation and final answer:Phoenix Incorporated, a cellular communication company, has multiple business units, organized as divisions. Each division's management is compensated based on the division's operating income. Division A currently purchases cellular equipment from outside markets and uses it to produce communication systems. Division B produces similar cellular equipment that it sells to outside customers—but not to Division A at this time. Division A's manager approaches Division B's manager with a proposal to buy the equipment from Division B. If it produces the cellular equipment that Division A desires, Division B will incur variable manufacturing costs of $60 per unit Relevant Information about Division B Sells 65.000 units of equipment to outside customers at $130 per unit Operating capacity is currently 80% the division can operate at 100% Variable manufacturing costs are $70 per unit Variable marketing costs are $8 per unit Fixed manufacturing costs are $700,000 Income per Unit for Division A (assuming parts purchased externally, not internally from division B) Sales revenue $320 Manufacturing costs Cellular equipnent a Other materials 10 Fixed costs 0 Total manufacturing costs 130 Gross margin 150 Marketing costs: Variable 35 Fixed 1 Total marketing costs so Operating income per unit 5 140 Required: 1. Division A proposes to buy 32,500 units from Division B at $75 per unit. What would be the effect of accepting this proposal on Division Bs operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? 2. Now suppose Division A could purchase from multiple suppliers and would accept partialshipment from Division B. How many units should Division B sell to Division A at $75 per unit, if any? What would be the effect on Division B's operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? 3. What is the range of transfer prices over which the divisional managers might negotiate a final transfer price? Complete this question by entering your answers in the tabs below. Required 1 | Required 2 Required 3 Division A proposes to buy 32,500 units from Division B at $75 per unit. What would be the effect of accepting this proposal on Division B's operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? Effect on division B's operating income Effect on firm's operating income

Question:

Give step-by-step solution with explanation and final answer:Uploaded ImageUploaded ImagePhoenix Incorporated, a cellular communication company, has multiple business units, organized as divisions. Each division's management is compensated based on the division's operating income. Division A currently purchases cellular equipment from outside markets and uses it to produce communication systems. Division B produces similar cellular equipment that it sells to outside customers—but not to Division A at this time. Division A's manager approaches Division B's manager with a proposal to buy the equipment from Division B. If it produces the cellular equipment that Division A desires, Division B will incur variable manufacturing costs of $60 per unit Relevant Information about Division B Sells 65.000 units of equipment to outside customers at $130 per unit Operating capacity is currently 80% the division can operate at 100% Variable manufacturing costs are $70 per unit Variable marketing costs are $8 per unit Fixed manufacturing costs are $700,000 Income per Unit for Division A (assuming parts purchased externally, not internally from division B) Sales revenue $320 Manufacturing costs Cellular equipnent a Other materials 10 Fixed costs 0 Total manufacturing costs 130 Gross margin 150 Marketing costs: Variable 35 Fixed 1 Total marketing costs so Operating income per unit 5 140 Required: 1. Division A proposes to buy 32,500 units from Division B at $75 per unit. What would be the effect of accepting this proposal on Division Bs operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? 2. Now suppose Division A could purchase from multiple suppliers and would accept partialshipment from Division B. How many units should Division B sell to Division A at $75 per unit, if any? What would be the effect on Division B's operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? 3. What is the range of transfer prices over which the divisional managers might negotiate a final transfer price? Complete this question by entering your answers in the tabs below. Required 1 | Required 2 Required 3 Division A proposes to buy 32,500 units from Division B at $75 per unit. What would be the effect of accepting this proposal on Division B's operating income? What would be the effect on the operating income of Phoenix Incorporated as a whole? Effect on division B's operating income Effect on firm's operating income

This is AI generated Response.
Asked by: Shikhar
Created at: 2025-09-29 15:11:47

Thought Process:

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**Analyzing divisions' costs** I need to break down the problem involving Phoenix Incorporated and its divisions, A and B. Division A currently buys equipment externally for $80, and it has several costs: cellular equipment at $80, other materials at $10, with total manufacturing costs at $130. Their total marketing costs amount to $50, leading to an operating income of $140 per unit sold. On the other side, Division B sells equipment for $130, but I need to consider the variable manufacturing costs associated when Division A purchases from B.**Clarifying Division B costs** I'm thinking about the variable manufacturing costs for Division B. They’re listed as $70 per unit for sales to outside customers, but it seems like when Division A places an order, the cost drops to $60 per unit. Division B also has variable marketing costs of $8 and fixed costs of $700k. Currently, they are operating at 80% capacity, selling 65,000 units, which means their full capacity is around 81,250 units. Therefore, they have about 16,250 units of idle capacity.**Examining variable costs** I noticed a mismatch regarding Division B's variable manufacturing costs. Initially, they’re stated as $70 per unit for outside sales, but there's a mention that costs drop to $60 per unit for Division A, likely due to customization. It seems that when Division A orders, they incur lower manufacturing costs, possibly because little to no marketing is needed. I wonder if there are shipping costs to consider when Division B sells to Division A. I need to analyze this carefully!**Evaluating marketing and manufacturing costs** I need to clarify the variable marketing costs, which are generally avoided but noted as $8 per unit. For internal transfers, I’ll assume these costs aren’t incurred. There’s also a note that Division B's variable manufacturing costs are $70, yet it’s been mentioned earlier that the cost is lower for Division A at $60. Now, I need to assess the impact of Division A's proposal to buy 32,500 units at $75 each on Division B's operating income and the overall impact on Phoenix Incorporated.**Calculating impact of A's purchase** If Division A purchases 32,500 units, Division B might have to cut outside sales due to capacity limits—they can produce a maximum of 81,250 units. Selling to A would push them to give up 16,250 outside sales. For the first 16,250 units sold to A with idle capacity, the minimum acceptable price is $60. For the remaining units that replace outside sales, transferring at $75 leads to a net loss of $37 per unit. The total impact on B's operating income would be a decrease of $357,500 if they accept the proposal. Overall, Phoenix Incorporated experiences lost contributions totaling $845,000.**Analyzing Division B's transfer scenario** If Division A purchases 32,500 units internally at $75 instead of buying externally at $80, the corporation can save significantly. For the 16,250 units using idle capacity, the cost difference provides a $20 savings per unit. However, Division B will lose $52 in contribution for each of the displaced outside units. Overall, the corporate effect shows a decrease in income by $195,000 after accounting for lost contributions. Now, for the new scenario, Division B should sell 16,250 units to A at $75, which is above their cost of $60 and avoids cannibalizing outside sales. This transfer increases B’s operating income by $243,750 while maintaining their outside sales of 65,000 units unaffected.**Determining transfer price range** With Division B utilizing idle capacity, they can sell 16,250 units internally at a minimum transfer price of $60, while A's maximum willingness to pay is $80, based on external supplier costs. This gives a negotiation range of $60 to $80 for those units. However, for any units beyond this capacity, the minimum price exceeds what A would pay, which means no transfers should occur. To summarize, the range of negotiable transfer prices is $60 to $80 for up to 16,250 units, with no agreeable price beyond that. We’ll present a thorough step-by-step explanation and final numbers in our answer, ensuring clarity in our calculations.**Creating the final message** I’m outlining my steps to finalize the message clearly. First, I’ll compute the total capacity as 81,250 with 16,250 units idle. Next, I’ll find the contribution margin on outside sales, which is $52. For internal units sold at a transfer price of $75, B's incremental contribution is $15. I’ll determine that 16,250 units should be transferred since it maximizes income without reducing profits. Therefore, B’s operating income increases by $243,750, and the firm gains $325,000. Finally, the range for transfer prices is between $60 and $80 for up to 16,250 units, with no agreements possible beyond that. I’ll keep the formatting straightforward, using bullet points as needed for clarity.

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Step 0: Key data - Division B currently sells 65,000 units to outside customers at $130 each. - Current utilization = 80% → Capacity = 65,000 / 0.80 = 81,250 units → Idle capacity = 16,250 units. - For sales to outsiders, B’s variable costs: manufacturing $70 and marketing $8 → unit contribution on an external sale = 130 − 70 − 8 = $52. - For units made for Division A, B’s variable manufacturing cost = $60 and no variable marketing cost. - Division A’s current external purchase price = $80 per unit. Required 1 Proposed transfer: A buys 32,500 units from B at $75. Division B’s effect - Contribution on a transfer to A = 75 − 60 = $15 per unit. - First 16,250 units (idle capacity): +16,250 × 15 = +$243,750. - Next 16,250 units displace outside sales and therefore lose $52 of CM per unit; net change per displaced unit = 15 − 52 = −$37. Effect on these 16,250 units = −16,250 × 37 = −$601,250. - Net effect on Division B = 243,750 − 601,250 = −$357,500 (decrease). Effect on Phoenix Inc. as a whole - Save A’s external purchases: 32,500 × 80 = $2,600,000. - Incur B’s manufacturing cost: 32,500 × 60 = $1,950,000. - Net production-cost saving = $650,000. - But lose contribution from 16,250 foregone outside sales: 16,250 × 52 = $845,000. - Firmwide change = 650,000 − 845,000 = −$195,000 (decrease). Required 2 If A can accept a partial shipment at $75: - B should transfer only up to idle capacity, i.e., 16,250 units, because each such unit yields $15 contribution without sacrificing any outside sales; any additional units would lose $37 per unit compared to selling outside. Impacts at 16,250 units transferred: - Effect on Division B: 16,250 × (75 − 60) = +$243,750. - Firmwide effect: Savings vs external purchase = 16,250 × (80 − 60) = +$325,000 (no lost outside sales). Required 3 Negotiation range for transfer price: - With idle capacity: Division B’s minimum acceptable price = variable cost = $60; Division A’s maximum = its external price = $80. Therefore, 60 ≤ TP ≤ 80 for up to 16,250 units. - Beyond 16,250 units, B’s minimum becomes 60 + opportunity cost of lost outside contribution (52) = $112, which exceeds A’s maximum of $80, so no mutually acceptable price exists for additional units. Final answers - Required 1: • Effect on Division B’s operating income: −$357,500. • Effect on firm’s operating income: −$195,000. - Required 2: • Number of units B should sell to A at $75: 16,250 units. • Effect on Division B’s operating income: +$243,750. • Effect on firm’s operating income: +$325,000. - Required 3: Transfer-price range is $60 to $80 per unit (only for up to 16,250 units; no acceptable range for units beyond that).

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