NOTE: SCREENSHOTS IN GREEN ARE REFERENCES! DO NOT SOLVE THOSE. I EVEN MARKED/NAMED THEM SO THAT YOU KNOW! ALL OTHERS, PLEASE SOLVE. FIVE TOTAL SCREENSHOTS/PROBLEMS AND SOME OR/ALL CONTAIN MULTIPLE PARTS! SOLVE ALL PARTS. AGAIN THERE ARE ONLY FIVE PROBLEMS (1 THROUGH 5)! THANK YOU!!
9.7.47-BE Question Help Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 875 hamburgers on game night. When the price was raised to $3.20, hamburger sales dropped off to an average of 700 per night. The concessionaire's fixed costs were $1,414.40 per night and the variable cost was $0.48 per hamburger. Answer the following questions (A) through (F). (A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. P= 6 -0.004x The domain of p is 0 5xS 1,500 . (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x) = 6x - 0.004x2 The domain of R(x) is 0Sx 1,500 . (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x) = 0.48x + 1,414.40 (D) Graph the cost function and the revenue function in the same coordinate system. Choose the correct graph below. O A. OB. OC. D. 2,500 1RC 2,500 1RC 2,500- 2,500-7 1.500 Find the break-even points. The break-even points are (340, 1577.60),(1040, 1913.60) Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (E) Find the profit function in terms of x P(x) = -0.004x2+ 5.52x - 1,414.40 (F) Evaluate the marginal profit at x = 390 and interpret the results. The marginal profit at x = 390 is $ 2.40 . Interpret the marginal profit. USE THIS AS A REFERENCE! O A. At a production level of 390 hamburgers, the profit is decreasing at a rate of $ per hamburger. O B. At a production level of 390 hamburgers, the profit is increasing at a rate of $ per hamburger. Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All Check AnswerX 9.7.47-BE Question Help Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 625 hamburgers on game night. When the price was raised to $2.90, hamburger sales dropped off to an average of 525 per night. The concessionaire's fixed costs were $745.20 per night and the variable cost was $0.84 per hamburger. Answer the following questions (A) through (F). (A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. p= Enter your answer in the answer box and then click Check Answer. ? 9 parts remaining Clear All Check Answer2 X 9.7.53-BE Question Help The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual X p($) C($) demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). 310 559 101,000 350 392 121,600 470 167 56,000 830 53 185,000 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. y= 0.0040283x2 - 5.5225284x + 1862.411 (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to three decimal places as needed.) (B) Find a linear regression equation for the cost data, using x as the independent variable. y= 146.29x + 69,220.00 (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The fixed costs are $ 69,220 (Round to the nearest dollar as needed.) The variable costs are $ 146 per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. USE AS REFERENCE! The break even points are (47,76136), (389, 126086) . Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.) (D) Find the price range for which the company will make a profit. $ 324 Sps $ 1612 (Round to the nearest dollar as needed.) Question is complete. Tap on the red indicators to see incorrect answers. ? All parts showing Similar Question 9.7.53-BE The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) ' (D) (A) Find a quadratic regression equation for the prioedemand data, using x as the independent variable. y: X PM 6(3) 370 567 116,000 410 428 123,600 640 163 155,000 770 71 186,000 Question Help V a (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefcients to seven decimal places as needed. Round the constant term to three decimal places as needed.) Enter y r answer in the answer box and then click Check Answer. pans . remaining Clear All CheckAnswer ' 1 p X 10.1.9 Question Help Use a calculator and evaluate A to the nearest cent. A = $8,000 e 0.01t for t = 4, 5, and 8 If t = 4, A~$ (Do not round until the final answer. Then round to the nearest hundredth.) Enter your answer in the answer box and then click Check Answer. ? 2 parts remaining Clear All Check Answer 10.3.79 ] Question Help V Find the indicated derivative and simplify. log 9x 6+x9 y'fory= Enter your answer in the answer box and then click Check Answer. All parts showing Clear All -EE 5 X 10.4.97-LS Question Help A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age. P(x) = 60 + 35 In (x + 2) OSXs65 P(x) is pressure measured in millimeters of mercury and x is age in years. The rate of change of pressure at the end of 10 years is 2.92 mm/year. (Type an integer or decimal rounded to the nearest hundredth as needed.) USE AS REFERENCE! The rate of change of pressure at the end of 30 years is 1.09 mm/year. (Type an integer or decimal rounded to the nearest hundredth as needed.) The rate of change of pressure at the end of 60 years is 11 mm/year. (Type an integer or decimal rounded to the nearest hundredth as needed.) Always goes by 10, 30, 60 years. X VI More Enter your answer in the answer box and then click Check Answer. ? All parts showing Clear All Check Answer5 X 10.4.97-LS Question Help A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age. P(x) = 40 + 25 In (x + 1) OSXs65 P(x) is pressure measured in millimeters of mercury and x is age in years. The rate of change of pressure at the end of 10 years is mm/year. Type an integer or decimal rounded to the nearest hundredth as needed.) Enter your answer in the answer box and then click Check Answer. ? 2 parts remaining Clear All Check
