QUESTION 11 6.2 points QUESTION 12 The Acme Class Ring Company designs and sells

Question

QUESTION 11

6.2 points   

QUESTION 12

The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring.

How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $60 and on an SST ring is $20?

24 VIP and 4 SST

24 VIP and 0 SST

20 VIP and 0 SST

20 VIP and 4 SST

6.2 points   

QUESTION 13

3x + 5y 45
3x + 3y 30
x 0
y 0

3x + 5y 45
3x + 3y 30
x 0
y 0

5x + 3y 45
3x + 3y 30
x 0
y 0

5x + 3y 30
3x + 3y 45
x 0
y 0

Explanation / Answer

How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $60 and on an SST ring is $20?

let x be the number of VIP rings and y of SST rings

x + y = 24

3x + 2y <= 60 we have to maximise this

also, x >=0 and y >=0

by plotting 3x + 2y = 60

we get x = 20 and y =0

so 20 VIP rings should be built and 0 SST rings

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