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!
The number of jewelry sets that should make if he wants to maximize his earnings is 40 jewelries.
Based on the information given, the equation to solve the question will be:
f(x) = (20 + x)(600 - 10x)
Then, we'll find the x-intercept which will be:
0 = (20 + x)(600 - 10x)
x = -20 and 69
The midpoint of the x-intercept will be:
= (60 - 20) / 2
= 40/2
= 20
Since the total number of sets is 20 + x. Then, this'll be:
= 20 + 20 = 40
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