mpany hat produ primarily athletic shoes. The company is considering introducing a new athletic shoe. The company has the capacity to produce up to 30,000 pairs of the new shoe per year. Company management is deciding between two possible new shoes. The "Foster" would be a court shoe and would have the following cost structure: Selling price per pair Total variable costs per pair Fixed production costs $140 $80 $150,000 The second possible new shoe would be called the "Ground Force 1" and would be a cross-training shoe. The Ground Force 1 would have the following cost structure: Selling price per pair $125
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
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4. Now, let's assume the company wants to consider producing both products. Assume that, considering
Pumped Up Kicks is a shoe manufacturing company that produces primarily athletic shoes. The company is considering introducing a new athletic shoe. The company has the capacity to produce up to 30,000 pairs of the new shoe per year. Company management is deciding between two possible new shoes. The “Foster” would be a court shoe and would have the following cost structure:
Selling price per pair |
$140 |
Total variable costs per pair |
$80 |
Fixed production costs |
$150,000 |
The second possible new shoe would be called the “Ground Force 1” and would be a cross-training shoe. The Ground Force 1 would have the following cost structure:
Selling price per pair |
$125 |
Total variable costs per pair |
$75 |
Fixed production costs |
$100,000 |
Producing either type of shoe will result in an additional $100,000 of fixed administrative costs. Assume Pumped Up Kicks total statutory tax rate of 20 percent.
Questions:
- Determine the number of pairs of Fosters or the number of pairs of Ground Force 1s the company must produce and sell to obtain an after-tax profit of $50,000. Assume the company will produce only one of the two alternatives (i.e., the company will produce either Fosters or Ground Force 1s, but not both).
- Which shoe (Fosters or Ground Force 1s) should the company produce if the company can sell 18,000 pairs of Fosters or 18,000 pairs of Ground Force 1s?
- Determine the number of pairs of shoes produced and sold that would make the company indifferent between producing Fosters and producing Ground Force 1s. In other words, find the number of pairs of shoes which, if produced and sold, would make the company the same amount of after-tax profit, regardless of which product (Fosters or Ground Force 1s) the company chooses to produce. How much profit would the company be making at that level of production and sales?
- Now, let’s assume the company wants to consider producing both products. Assume that, considering
forecasted sales and production factors, the company has decided on a product mix of 60% Ground Force 1s and 40% Fosters. What amount of sales (in dollars) must the company obtain to break even with that product mix?
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