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A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers its price to $40.19, it can sell 930 items. (a) Find the linear demand equation (price function) for selling x items. (round to 4 decimal places) p(a) = 139.5512-0.1068x It costs the business $5.62 per item to produce and they have $2,500 in overhead each month. (b) Find the linear Cost, and quadratic Revenue and Profit functions for producing/selling x items: (round to 4 decimal places) C (x) = 5.62 x+ 2500 !! R(x) =-0.1068 2+139.5512 x+0 P(z) = -0.1068 2+ 133.9312 x+ -2500 (c) How many items should the company sell to break even? What price should they set to do so? (lower quantity) They could sell Number items at a price of $ Number each OR (higher quantity) They could sell Nymber items at a price of $ Number each

A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers its price to $40.19, it can sell 930 items. (a) Find the linear demand equation (price function) for selling x items. (round to 4 decimal places) p(a) = 139.5512-0.1068x It costs the business $5.62 per item to produce and they have $2,500 in overhead each month. (b) Find the linear Cost, and quadratic Revenue and Profit functions for producing/selling x items: (round to 4 decimal places) C (x) = 5.62 x+ 2500 !! R(x) =-0.1068 2+139.5512 x+0 P(z) = -0.1068 2+ 133.9312 x+ -2500 (c) How many items should the company sell to break even? What price should they set to do so? (lower quantity) They could sell Number items at a price of $ Number each OR (higher quantity) They could sell Nymber items at a price of $ Number each

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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Now that I have gotten these equations how do I find the bottom part. 

A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers its price to $40.19, it can sell 930 items. (a) Find the linear demand equation (price function) for selling x items. (round to 4 decimal places) p(x) = 139.5512-0.1068x It costs the business $5.62 per item to produce and they have $2,500 in overhead each month. (b) Find the linear Cost, and quadratic Revenue and Profit functions for producing/selling x items: (round to 4 decimal places) C (x) = 5.62 x+ 2500 R() = -0.1068 x+139.5512 x+ 0 P (x) = -0.1068 x2+133.9312 x+-2500 (c) How many items should the company sell to break even? What price should they set to do so? (lower quantity) They could sell Number items at a price of $ Number each OR (higher quantity) They could sell Nymber items at a price of $ Number each
Transcribed Image Text:A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers its price to $40.19, it can sell 930 items. (a) Find the linear demand equation (price function) for selling x items. (round to 4 decimal places) p(x) = 139.5512-0.1068x It costs the business $5.62 per item to produce and they have $2,500 in overhead each month. (b) Find the linear Cost, and quadratic Revenue and Profit functions for producing/selling x items: (round to 4 decimal places) C (x) = 5.62 x+ 2500 R() = -0.1068 x+139.5512 x+ 0 P (x) = -0.1068 x2+133.9312 x+-2500 (c) How many items should the company sell to break even? What price should they set to do so? (lower quantity) They could sell Number items at a price of $ Number each OR (higher quantity) They could sell Nymber items at a price of $ Number each
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