Calculus for Business x Calculus for Business x C The Derivative OfAF X c Calculus For Business X Sy tangent of P(x-x3-

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Calculus For Business X Calculus For Business X C The Derivative Ofaf X C Calculus For Business X Sy Tangent Of P X X3 1 (184.91 KiB) Viewed 26 times

Calculus for Business x Calculus for Business x C The Derivative OfAF X c Calculus For Business X Sy tangent of P(x-x3- X Microsoft Word - MS X G - If the demand funci x | + G- & G S * Calculus for Busines... 3 Calculus for Busines Blarichoard Leam = Microsoft Word - MS2_Sp2022.docx 2/21 2 150% + IV. Practical Problems: (10 points) 1- The revenues of a firm are given by R(q) = 2014 - 2q2 where Q represents the quantity produced. The cost of production is C(q) = 0.75q² + 8q + 300 dollars. a. Write out the profit function. b. Use the first-order condition to find the profit-maximizing level of output. c. Verify your answer using the second-derivative test. 2- The inverse demand function for a good is p=-0.1q+ 50 a. Find the total revenue function. b. Use the intervals of increase and decrease of the total revenue function to find the quantity at which total revenue is maximized. 3. Given the total-cost function C(Q) = (3 - 502 + 12 + 75, a. Write out the marginal cost function. b. Use marginal cost to estimate the cost of producing the fourth unit. c. What is the actual cost of producing the fourth unit? d. At which quantity is total cost minimized? (hint : use the first derivative test) e. Verify that this corresponds to a minimum using the second-derivative test. OneDrive Screenshot saved The screenshot was added to your OneDrive 24°C 1124 AM AD ENG علقم فقه 4/25/2022