Revenue and Cost The total monthly revenue function for Easy-Ride golf

3kofbe

3kofbe

Answered question

2021-12-06

Revenue and Cost The total monthly revenue function for Easy-Ride golf carts is given by R=26,600x dollars, and the total monthly cost function for the carts is
C=200,000+4600x+2x2
dollars, where x is the number of golf carts that are produced and sold.
a) Which function is quadratic, and which is linear?
b) Form the profit function for the golf carts from these two functions.
c) Is the profit function a linear function, a quadratic function, or neither of these?

Answer & Explanation

Himin1945

Himin1945

Beginner2021-12-07Added 12 answers

Step 1
Let the revenue function is, R=26,600x and the cost function is, C=200000+4600x+2x2
a) The degree of revenue function is one and the degree of cost function is 2.
Therefore, revenue function is linear and cost function is quadratic function.
b) Now to find profit function
Profit function=Revenue functioncostfunction
P(x)=26,600x(200,000+4600x+2x2)
=26,600x200,0004600x2x2
=2x2+22000x200,000
P(x)=2x2+22000x200,000
c) Let, the profit function is,
P(x)=2x2+22000x200,000 which has degree 2
Therefore, the profit function is a quadratic function.

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