Problem. The following table contains pricedemand and total cost data for the production of regular sleeping blankets. where p the wholesale price (in dollars) of a sleeping blankets is for an annual demand ofx sleeping blankets and C is the total cost (in dollars) of producing 14: sleeping blankets: . A . a c 1 x 9 Clint} 2 ' 2250 10-0 135000 3 I 3100 as 135000 4 ; 4150 ?2 195000 5 .' 5150 51 225000 6 5050 43 250000 I , 6100 41 291520 a) Find a quadratic best fit equation for the pricedemand data, using 3: as the independent fl variable. (Use Excel) Find a linear best fit equation for the cost data, using x as the independent variable. (Use Excen By using the quadratic pricedemand equation found in part (a), and the linear cost function found in part (b), nd a best fit equatiOn for profit 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 profit? 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 profit function, P(x), you constructed In part (c), and find the requested values algebraically. Verify your answer for the maximum profit and the number of sleeping blankets that leads to maximum profit you found in part (d) by using Excel Solver. (Hint: Apply "C: Steps to set up the problem in Excel"and the following related steps given in \"Moduie S-Excel Applications\") Find P'(3000) and P't4000), and then interpret the result. Here, use the profit function, Fifx), you constructed in part (c), and find the requested values algebraically