Who Gives a Crap (WGC) is a company specializing in toilet paper production. Suppose a company like WGC produces 4 different toilet paper types to meet the needs of their customer base each week. The profit for a large case (100 rolls) for each type of toilet paper is as follows. Back in Black (TP 1) toilet paper, which is all black to hide unsightly excrement colors, contributes $35 to profit. Rainbow Road (TP2) toilet paper, which has rainbow colored squares, contributes $40 to profit. Money-Money- Money (TP3), which has $100 bills printed on it, contributes $55 to profit. The Little Crack Pack (TP4), which is a sample pack of the other 3 types, contributes $45 to profit. The demand for TP4 is 3 times the demand for TP1 so must be produced with this ratio in mind. WGC only has capacity to produce 3000 cases of TP each week. WGC also has to produce at least 400 cases of TP1, 350 cases of TP2, 800 cases of TP3, and 200 cases of TP4. Determine the mix of TP that should be produced to maximize profit. The optimal objective function value will be $139,750.00 once solved Profit and Production Information Contribution per Case Cases Produced Demand Requirements Profit for Each TP Type Production Ratio Constraint Ratio of TP4 to TP1 Number of TP4 produced Total Production Constraint Weekly Production Capacit Total Profit TP 1 >= TP 2 >= >= TP 3 TP 4