Answer:
Explanation:
Alpha = $195
Beta = $150
total production capacity = 123,000 pounds
raw materials = $5 per pound
Production costs per unit Alpha Beta
direct materials $40 $15
direct labor $34 $28
variable manufacturing overhead $22 $20
fixed manufacturing overhead $30 $33
variable selling expenses $27 $23
common fixed expenses $30 $25
total cost per unit $183 $144
1) What contribution margin per pound of raw material is earned by Alpha and Beta?
Alpha Beta
contribution margin $72 $64
contribution margin per pound <u> $9</u> <u>$21.33</u>
2) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. How many units of each product should Cane produce to maximize its profits?
Alpha Beta
contribution margin $72 $64
contribution margin per pound $9 $21.33
production (in units) 2,500 75,000
profits $30,000 $450,000
total profits <u>$480,000</u>
3) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. What is the maximum contribution margin Cane Company can earn given the limited quantity of raw materials?
Alpha Beta
contribution margin $72 $64
contribution margin per pound $9 $21.33
production (in units) 2,500 75,000
contribution margin $180,000 $4,800,000
total contribution margin <u>$4,980,000</u>
4) Assume that Cane's customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also, assume that the company's raw material available for production is limited to 245,000 pounds. Up to how much should it be willing to pay per pound for additional raw materials?
If it wants to increase the production of Alpha, it could pay as much as ($195 - $183) / 8 = $1.50 extra per pound if it wants to maximize profits. Maximum price = $6.50 per pound. At this point, marginal revenue = price.
