Question

Profit function correct for Model A?

Profit function correct for Model B?

Mini Project 1 A company is planning to produce and sale a new product, and after conducting extensive market surveys, the research department provides two potential business models. Model A The total cost and the total revenue in dollars for a weekly production and sale of x items are given, respectively, by: 24x+ 20,000 and R(x) = 200x-0.2x2 where 0 s xs 500. C(x) Model B The total cost and the total revenue in dollars for a weekly production and sale of x items are given, respectively, by: C(x) 20x+ 14,400 and R(x) 150x-0.3x2 where 0 s xS 500. i) For each model, find the profit function P(x) ii) For each model, find P(100) and interpret the result. iii) For each model, find P'(100) and interpret the result. iv) For each model, find P(500) and interpret the result. v) For each model, find P'(500) and interpret the result. vi) Which model should the company choose and why? Meai Payect / Revenue dunct funetren aceme lesy ex- Ceat function Phodel A Pi&)- RoM-Clk) Pa 200x-0.ax2-(24x+20,o00) 200x-22-24 axtt 174X- 20 000 ax-176x +20 000 20, 000 model B Pix)=Rx)-C Pl)= 150x-0.3x-(20x+14400) 150X-.3x-20X -.3x2+ 130x- 14 312-130x 4400 400 + 14,4DO

Answer 1

Yes,I have checked it . Profit function is correct for both models.

If you have any other doubt feel free to ask .