Question

Write and solve a system of inequalities to model the following situation

Answer 1

Lucid dreams, this is the solution:

Let d to represent the number of dinning chairs

Let r to represent the number of rocking chairs

I. d + r ≤ 30

II. Profit = 60d + 90r

III. d + 2r ≤ 40 hours

d + r ≤ 30 (Multiplying by -1)

d + 2r ≤ 40

__________

- d - r ≤- 30

d -+ 2r ≤ 40

__________

r ≤ 10

Replacing on the first inequality:

d + 10 ≤ 30

d ≤ 30 - 10

d ≤ 20

Profit = 60 * 20 + 90 * 10

Profit = 1,200 + 900

Profit = 2,100

For maximing his profit, the carpenter should make 20 dinning chairs and 10 rocking chairs. His profit would be $ 2,100.