Business Math Problem

Question

A bakery is planning to make chocolate chip cookies by mixing chocolate chips into plain cookie batter. There are two kinds of cookies to be made: Good and Deluxe. Good cookies are at least 15% chocolate chips (by weight) and sell for $0.80 per pound. Deluxe cookies are at least 25% chocolate chips and sell for $1.10 per pound. There are 319 pounds of chocolate chips available, at a cost of $1.20 per pound. Plain cookie batter costs $0.40 per pound. The bakery must make at least twice as many pounds of Good cookies as Deluxe cookies. To maximize profit, how should the cookies be made?

Answer 1

15% chip good cookies go for 80 cents per pound

25% chip deluxe cookies go for $1.10 per pound

319 lbs max chips available at

$1.20 per lb

40 cents per lb for cookie dough

must use at least twice as much Good cookies as Deluxe

g+c </= 319

it's a linear programming problem

graph the inequalities

check the corners of the resulting polygon boundaries of the shaded areas to see which optimizes the objective function