Question

The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company’s products is increasing, and management requests assistance from you in determining an economical sales and production mix for the coming year. The company has provided the following data:

Product	Demand Next year (units)	Selling Price per Unit		Direct Materials		Direct Labor
Debbie	72,000	$	18.00	$	4.90	$	4.05
Trish	64,000	$	6.50	$	1.80	$	1.89
Sarah	57,000	$	30.00	$	9.74	$	6.75
Mike	40,000	$	15.00	$	4.20	$	4.95
Sewing kit	347,000	$	10.20	$	5.40	$	1.44

The following additional information is available:  

1. The company’s plant has a capacity of 155,110 direct labor-hours per year on a single-shift basis. The company’s present employees and equipment can produce all five products.

2. The direct labor rate of $9 per hour is expected to remain unchanged during the coming year.

3. Fixed manufacturing costs total $605,000 per year. Variable overhead costs are $5 per direct labor-hour.

4. All of the company’s nonmanufacturing costs are fixed.

5. The company’s finished goods inventory is negligible and can be ignored

Required:

4. Assuming that direct labor-hours is the company’s constraining resource, what is the highest total contribution margin that the company can earn if it makes optimal use of its constrained resource?

5. Assuming that the company has made optimal use of its 155,110 direct labor-hours, what is the highest direct labor rate per hour that Walton Toy Company would be willing to pay for additional capacity (that is, for added direct labor time)?

Answer 1