7. EB Company sells a large pack of "Cutie" diapers for $20. One pack of diapers requires two pounds of raw material and one hour of direct labor for manufacture. Raw material costs $3 per pound and direct production labor is paid $4 per hour. Fixed supervisory costs are $2,000 per month and EB rents its factory for $4,000 per month. How many packs of diapers should EB sell every month to break even? a. 500. b. 400. c. 600. d. 800.

c. 600

Explanation:

One pack of diapers requires two pounds of raw material and one hour of direct labor for manufacture. Since Raw material costs $3 per pound and direct production labor is paid $4 per hour.

Therefore the cost of producing one pack of diaper = 2 pounds ($3 per pound) + 1 hr ($4 per hour) = $6 + $4 = $10

Since Fixed supervisory costs are $2,000 per month and EB rents its factory for $4,000 per month, the total expense for x diapers per month is given as:

Expense = $2000 + $4000 + $10x = $10x + $6000

The revenue generated by selling x diapers per month since one pack is sold at $20 is given as:

Revenue = $20x

At break even, Revenue = Expense

Therefore: $10x + $6000 = $20x

20x - 10x = 6000

10x = 6000

x = 6000/10 = 600

EB would need to sell 600 diapers to break even