Problem. The following table contains pricedeman d and total cost data fo regular sleeping blankets, where p the wholesale price (in dollars) of a sleepii annual demand of x sleeping blankets and C is the total cost (In dollars) of pi blankets: _ A B \"swims.\" 1 x (3 Ci") 2 2250 100 135000 3 3100 9.5 185000 4 4750 72 195000 5 5150 51 225000 6 5650 48 250000 7 6100 41 291520 a) Find a quadratic best t equation for the pricedemand data, using 1:: a b) variable. (Use Excel) Find a linear best fit equation for the cost data, using x as the indepen Excel) By using the quadratic pricedemand equation found in part (a), and the found in part (b), find a best fit equation for prot functiOn P(x), usingx variable. Then plot its graph using given x values in the table. (Use Excel) What is the maximum profit? How many sleeping blankets must be produ have the maximum profit? What is the wholesale price per regular sle should be charged to realize the maximum prot? Use the profit fl constructed in part (c), and nd the requested values algebraically. Verify your answer for the maximum profit and the number of sleeping bi to maximum prot you found in part (d) by using Excel Solver. (Hint: App UP the problem in Excel\" and the following related steps given in- \"Module! 5-! Find P'(3000) and P'(4000), and then interpret the result. Hem, P(x), you constructed in part (c), and nd the requested valuesalg