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 d ecrease by $10. How many jewelry sets should he make if he wants to maximize his earnings?
2 answers:
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:
40 sets
Step-by-step explanation:
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