QUESTION 11 62 points QUESTION 12 The Acme Class Ring Compan

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

Solution

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