Question

A craftsman can sell 20 jewelry sets for $600 each. He knows that for each additional set he makes, the price of each set will decrease by $10. How many jewelry sets should he make if he wants to maximize his earnings?

Answer 1

Answer:

40 jewelry sets

Step-by-step explanation:

Step 1: assign variables

x = additional # of sets

total # of sets = 20 + x

price = 600 - 10x

Step 2: make an equation

f(x) = (20 + x)(600 - 10x)

Step 3: find x intercepts

0 = (20 + x)(600 - 10x)

x = -20,  x=60

Step 4: find the midpoint/average of x intercepts

(60 - 20) / 2 = 20

Step 5: plug it into the "total # of sets" equation

20 + 20 = 40

40 jewelry sets!

Answer 2

Answer:

40 sets

Step-by-step explanation: