Billy Penny is trying to determine how many units of two types of lawn mowers to

produce each day. One of these is the Standard model, while the other is the Deluxe

model. The profit per unit on the Standard model is $60, while the profit per unit on

the Deluxe model is $40. The Standard model requires 20 minutes of assembly time,

while the Deluxe model requires 35 minutes of assembly time. The Standard model

requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of

inspection time. The company must fill an order for 6 Deluxe models. There are 450

minutes of assembly time and 180 minutes of inspection time available each day.

Formulate a linear programming problem to determine how many units of each

product should be manufactured to maximize profits (you don't need to solve the

problem).