Question

A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs. The manufacturer earns a profit of $50 on each chair and $80 on each sofa. Let x represent the number of chairs and y represent the number of sofas. Choose the function that represents the manufacturer’s profit, P.
A) P = 50x + 50y
B) P = 50x + 80y
C) P = 80x + 50y
D) P = 130(x + y)

Answer 1

it's p=50x+80y so it's B

Answer 2

Answer:

Option B is correct.

Step-by-step explanation:

We are given that manufacturer earn profit on both items.

Profit earn on a chair = $ 50

Profit earn on a sofa = $ 80

Let x be the number of chairs and y be the number of sofas.

⇒ Profit on x chairs = 50x

⇒ Profit on y sofas = 80y

Total Profit = 50x + 80y

let Profit function denoted by P

⇒ P = 50x + 80y

Therefore, Option C is correct .i.e., P = 50x + 80y