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?

Question

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?

Himin1945 · Accepted Answer

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 function−costfunction ⇒P(x)=26,600x−(200,000+4600x+2x2) =26,600x−200,000−4600x−2x2 =−2x2+22000x−200,000 ⇒P(x)=−2x2+22000x−200,000 c) Let, the profit function is, P(x)=−2x2+22000x−200,000 which has degree 2 Therefore, the profit function is a quadratic function.

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

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