finite Math 200 Question 5 though 8

5. [-/3 Points] DETAILS TANFIN12 3.2.012. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type A vessel, x, has 40 deluxe cabins and 155 standard cabins, whereas a type B vessel, y, has 75 deluxe cabins and 115 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 700 standard cabins for their 15-day cruise in May. It costs $41,000 to operate a type A vessel and $56,000 to operate a type B vessel for that period. How many of each type of vessel should be used in order to keep the operating costs, C (in dollars), to a minimum? Minimize subject to the constraints deluxe cabins standard cabins x20 y20 Need Help? Read It 6. [-/4 Points] DETAILS TANFIN12 3.2.014. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus, and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus, and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 lb of phosphorus, and 360 lb of potassium. If a 50-lb bag of Fertilizer A costs $80 and a 50-lb bag of Fertilizer B costs $40, find the amount of each type of fertilizer the farmer should use to minimize his cost C in dollars while still meeting the minimum requirements. (Let x represent the number of bags of Fertilizer A and y represent the number of bags of Fertilizer B.) Minimize subject to the constraints nitrogen phosphorus potassium x20 y20 Need Help? Read It 7. [-/5 Points] DETAILS TANFIN12 3.2.019. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location | and Location II. The output at Location | is at most 5900 televisions/month, whereas the output at Location II is at most 5100 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2500 and 3500 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location $6 $4 Location II $8 $11 TMA will ship x televisions from Location I to City A and y televisions from Location | to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Minimize subject to the constraints Location I production Location II production Location II to City A shipping Location II to City B shipping Location I to City A shipping X20 Location I to City B shipping y 2 0 Need Help? Read It Watch It 8. [-/1 Points] DETAILS TANFIN12 3.2.034. MY NOTES PRACTICE ANOTHER Determine whether the statement is true or false. The problem Minimize C = 4x + 3y subject to 4x + 3y s 12 x - y =0 x20, y20 is a linear programming problem. O True O False