Question

Craig Browning bakes cookies for the elementary school cookie sale. His chocolate chip cookies sell for $1.00 a dozen, and his oatmeal brownie cookies sell for $1.50 a dozen. He will bake up to 20 dozen chocolate chip cookies, and up to 40 dozen oatmeal brownie cookies, but no more than 50 dozen cookies, total. Also, the number of oatmeal brownie cookies will be no more than three times the number of chocolate chip cookies. How many of each kind should Craig make in order for the elementary school to make the most money

Answer 1

Answer and Step-by-step explanation:

Let

Number of chocolate chip cookies = x

Number of oatmeal brownie cookies = y

Bake chocolate chip cookies up to 20 dozen = x≤ 20

Bake oatmeal brownies up to 40 dozen= y≤40

Total cookies = x + y ≤ 50

Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x

From the inequality:

X + y=50

y = 3x

By putting the value of y, we get

x + 3x = 50

4x = 50

X = 12.5

By putting the value of x=12.5 in equation y = 3x, we get

Y = 3(12.5)

= 37.5

Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.