Question

Where it says "select" there are two options. Profit and loss. How would I solve for revenue and profit?

The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon." The society will charge students $1.10 per serving of pasta. The society estimates that the total cost of producing x servings of pasta at the event will be C(x) = 340 + 0.10x + 0.002x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'x) functions. HINT (See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 200 servings of pasta. revenue profit marginal revenue $ per additional plate marginal profit per additional plate श्री श्री Interpret the results. The approximate ---Select--- from the sale of the 201st plate of pasta is $ (c) For which value of x is the marginal profit zero? x = plates Interpret your answer. The graph of the profit function is a parabola with a vertex at x = so the loss is at a minimum when you produce and sell plates. Need Help? Talk to a Tutor Submit Answer Viewing Saved Work Revert to Last Response

Answer 1

solution - C = 340t o 10x + 0.002x² dollars. Quantity, Revenue a price x R(X) - 110 Quantity assume g The marginal revenue function is, Rasad (1.1%) dex Therefore, the marginal revenue function is Row=1-1 profit = Revenue -cost e P(X) = ROC) - CORD = 1.1*-(340+0-10% +0.00202) 11X-340-D:10X -0. Ouz? = -0.002x² + x - 340 The marginal profit function is, p(x) = a (-0.002 2 + x 340) = -0.002(22)+1-0 = -0.0042 till

and profit producing and saving of paster. (6) Revenue is 2005 R(X) = 1.12 = 1.1200) R(204) = 220 PG)= -0.002x²+x-34 --0.002(200) + 200-340 = -80 +200-340 -420 +200 Phov) = -220 sold in. marginal revent at 200 servings of pasto, is R!G) = 11 R' 200) Il per unit the marginal profit at the level of 200 Savings of pasta is sold is, pla= - 0.00uat! = -0.004 (200) + = -0.8+! pl (200) = 0-2 per unit

the value of at the The objective is to find marginal profit zero. Pl(x)=0 -0.004&tl=0 O Go4 1x=250] Therefore, marginal ralie the required profit zero is Afax at the 250 servings of pasta.