Solve by Linear Programming: Form: FL 21 For each exercise: It is essential that your graph must explain all the important variables. In other words, the scale of the graph should be selected properly, and all the constraints, the feasible area, all the critical (corner) points should be SOLVED ALGEBRAICALLY and indicated clearly. The line(s) also have to be labeled (colored) clearly. Points will be taken off for sloppiness. USE GRAPH PAPER AND COLORS! Answer the question with a complete sentence explaining the meaning of the solution. LINEAR PROGRAMMING PROBLEM 1 (40 points) A manufacturer wants to maximize the profit of two types of boxed chocolates. A box of chocolate covered creams yields $ 9.00 per unit, and box of chocolate covered cherries yields a profit of $11.00 per unit. Market tests and available resources have indicated the following constraints: The combined production level should not exceed 1200 boxes per month. The demand for chocolate covered cherries is no more than half the demand for chocolate covered creams. The production level of chocolate covered creams is less than or equal to 600 units plus three times the production level of chocolate covered cherries. . LINEAR PROGRAMMING PROBLEM 2 (60 points) Use GRAPH PAPER AND COLORS to graph the following: It takes one day to assemble a basic bicycle and two days to assemble an e-bike, and there are 240 days per year available for assembling. It takes 3 days to paint basic bicycles and 1 day to paint e-bikes, and there are 300 days per year available for painting. Find the number of each type of bikes that should be produced to maximize profit, assuming that the profit is $200 per basic bicycles and $300 per e-bikes when there are 150 employees available to assemble and/or paint.