The Gant Company produces three items in its manufacturing plant. The plant has a total capacity of 9,600 minutes per month for production. The following information is provided for the products:

Products

X Y Z

Direct material $16 $10 $14

Direct labor (all variable) 15 14 15

Variable overhead 2 3 4

Fixed overhead 20 23 30

Unit cost $53 $50 $63

Minutes required per unit 5 4 6

Selling price per unit $70 $65 $80

Variable selling expense per unit $5 $4 $2

Monthly demand in units 2,200 1,000 800

Required:

1. How many minutes would be required to meet the demand for all three products?

2. How many units of each product should Gant produce to maximize profit? Show your calculations!