Answered

IDNLearn.com: Your trusted source for finding accurate answers. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

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

Write And Solve A System Of Inequalities To Model The Following Situation class=

Sagot :

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.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.