# System of Linear Equations

Attached are problems involving linear equations. Thank you for your help.

1.) 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 and 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 $40 and on an SST ring is $35?

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 $40 and on an SST ring is $35?

a. 14 VIP and 10 SST

b. 18 VIP and 6 SST

c. 16 VIP and 8 SST

d. 12 VIP and 12 SST

2. The Acme Class Ring Company designs and sells two types of ring: 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 and 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.

a. 24 VIP and 4 SST

b. 20 VIP and 0 SST

c. 20 VIP and 4 SST

d. 24 VIP and 0 SST

3. Factories A and B sent rice to stores 1 and 2.

A sent 10 loads and B sent 22. Store 1 used 15 loads and store 2 used 17.

It cost $200 to ship from A to 1.

It cost $350 to ship from A to 2, and $300 to ship from B to 1 and

$250 from B to 2. $7750 was spent. How many loads went where?

a. 10 from A to 1

0 from, A to 2

5 from B to 1

17 from B to 2

b. 0 from A to 1

10 from, A to 2

17 from B to 1

5 from B to 2

c. 9 from A to 1

1 from, A to 2

6 from B to 1

4 from B to 2

d. 8 from A to 1

2 from, A to 2

7 from B to 1

15 from B to 2