For the coming production period, the company has 220 fan motors, 300 cooling colls, and 2,500 hours of manufacturing time available. How many economy models (E), standard models (5), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows: Max63E+95S+135Ds.t.1E+15+10220Fanmotors1E+25+4D300Coolingcols8E+12S+14D2,500Manufacturingtime The computer solution is shown below. (a) What is the optimal solution, and what is the value of the objective function? E S D profit $ (b) Which constraints are binding? (Select all that apply.) fan motors cooling coils manufacturing time (c) Which constraint shows extra capacity? fan motors cooling coils manufacturing time How much extra capacity (in hr) is available? hr (d) If the profit for the deluxe model were increased to $140 per unit, would the optimal solution change? Use the information in the output to answer this question. The optimal solution change because the new profit is the