Problem. The following table contains price-demand and total costdata for the production of regular sleeping blankets, where p the wholesale price (in dollars) of a sleeping blankets is for an annual demand of x sleeping blankets and C is the total cost (in dollars) of producing x sleeping blankets: , . . .. . . \"Fiat\" .K -P. . le . . 2250 . . 100 _ 135000, 3 3100 _' 95 . 135000 I .'i. 4750 72 _ 195000 - s 5150 . s1_ ._ 22.5000 3; 6 5050 48 250000 f 7 (6100 41 291520 } a) b) C) d) .f) Find a quadratic best t equation for the pricedemand data, using x as the independent variable. (Use Excel) Find a linear best t equation for the cost data using x as the independent variable. (Use Excel) By using the quadratic pricedemand equation found in part (a), and the linear cost function found in part (b), nd a best t equation for prot function P(x), using x as the independent variable. Then plot its graph using given x values in the table. (Use Excel) What is the maximum prot? How many sleeping blankets must be produced (demanded) to have the maximum profit? What is the wholesale price per regular sleeping blanket that should be charged to realize the maximum prot? Use the prot function, P(x), you constructed in part (c), and find the requested values algebraically. Verify your answer for the maximum prot and the number of sleeping blankets that leads to maximum prot you found in part (d) by using Excel Solver. (Hint: Apply "C: Steps to set up the problem In Exce' and the following related steps given in \"Module 5 Excel Applications") Find P (3000) and P '(4000), and then interpret the result. Here, use the prot function, P(x), you constructed in part (c), and find the requested values algebraically