Question

Bruce Corporation makes four products in a single facility. These products have the following unit product costs: Products ABCD Direct materials$13.20$9.10$9.90$9.50 Direct labor 18.30 26.30 32.50 39.30 Variable manufacturing overhead 3.20 1.60 1.50 2.10 Fixed manufacturing overhead 25.40 33.70 25.50 36.10 Unit product cost$60.10$70.70$69.40$87.00 Additional data concerning these products are listed below. Products ABCD Grinding minutes per unit 2.70 3.40 3.20 2.30 Selling price per unit$75.00$92.40$86.30$103.10 Variable selling cost per unit$1.10$0.10$2.20$0.50 Monthly demand in units 2,900 2,900 1,900 2,100 The grinding machines are potentially the constraint in the production facility. A total of 52,600 minutes are available per month on these machines. Direct labor is a variable cost in this company. How many minutes of grinding machine time would be required to satisfy demand for all four products

Answer 1

A. Total grinding minutes required = 28,600 minutes

B.

Of the 4, product D offers the highest profitability per grinding minute.

A. $40,020 divided by 7,830 minutes = $5.11 per grinding minute

B. $62,640 divided by 9,860 minutes = $6.35 per grinding minute

C. $27,930 divided by 6,080 minutes = $4.60 per grinding minute

D. $32,760 divided by 4,830/minutes = $6.70 per grinding minute

Step-by-step explanation:

Bruce corporation

A.

Step 1 identify Grinding minutes per unit of product

A = 2.70

B = 3.40

C = 3.20

D = 2.30

Step 2. Identify Production units through monthly demand units

A = 2,900

B = 2,900

C = 1,900

D = 2,100

Step 3. Determine total grinding units required to fulfill demand.

A = 2,900 x 2.70 = 7,830

B = 2,900 x 3.40 = 9,860

C = 1,900 x 3.20 = 6,080

D = 2,100 x 2.30 = 4,830

Total grinding minutes required = 28,600

B.

Product profitability

Step 1. Determine product cost

Differentiate the product Costs and variable selling costs per unit from the unit selling prices.

A = 75.00 - 60.10 - 1.1 = 13.80

B = 92.40 - 70.70 - 0.1 = 21.60

C = 86.30 - 69.40 - 2.20 = 14.70

D = 103.10 - 87.00 - 0.50 = 15.60

Step 2. Multiply the profitability per unit with volume demanded to determine absolute value of profits made

A = 2,900 x 13.80 = $40,020

B = 2,900 x 21.60 = $62,640

C = 1,900 x 14.70 = $27,930

D = 2,100 x 15.60 = $32,760

Total profit = $163,350.

Step 3./determine the profit per grinding minute. To evaluate which product makes best use of the grinding machine

A. $40,020 divided by 7,830 minutes = $5.11 per grinding minute

B. $62,640 divided by 9,860 minutes = $6/35 per grinding minute

C. $27,930 divided by 6,080 minutes = $4.60 per grinding minute

D. $32,760 divided by 4,830/minutes = $6.7 per grinding minute