Please solve in Excel with solver. Only problem e) and f) please.

1) (7 points) A small company builds three products, A, B, and C, which earn profits of $150,$200, and $300, respectively. Each product requires machine time and raw material; there are 2400 hours of machine time and 3000 pounds of raw material available. Each unit of product A requires 3 hours of machine time and 2 pounds of raw material, each unit of product B requires 4 hours of machine time and 4 pounds of raw material, and each unit of product C requires 5 hours of machine time and 8 pounds of raw material. How many of each product should be built in order to maximize profit? a) Set up LP Model. Either write it down or include your Excel work below. b) What is the optimal combination of products and what is the best profit? c) How much is an extra hour of machine time be worth? How much is an extra pound of raw material worth? Fractional answers are OK here. (Hint: This is called the shadow price.) d) How does the solution change if we must produce at least 80 units of each product and ensure that the answers are integers? What is the new optimal combination of products and the new optimal profit? e) Reconsider problem 1), disregarding the restrictions from part 1d) (there is no minimum amount and integers are not required). Assume that you can buy up to 2000 extra pounds of raw material for $5/ pound. Add this into the model and re-solve it. What is the new solution: How much raw material should you buy? How many of each product should you make? And how what is the maximum profit? Describe how you approached this problem. f) Reconsider problem 2), disregarding part 2d) (where one of the activity times has been cut in half). Assume you can decrease a total of 100% off of activity times. For example, you could cut activity H by 100% from 8 down to 0 ; or you could cut each of the 10 activities by 10%(1010%=100%); or you could cut activities B and C each by 50% from 9 down to 4.5(250%=100%). Any combination of decreases that add up to 100% is allowed. What is the optimal way to allocate the 100% that minimizes the project completion time? Describe how you approached this