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 60 deluxe cabins and 150 standard cabins, whereas a type B vessel, y, has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 380 deluxe and 660 standard cabins for their 15-day cruise in May. It costs $45,000 to operate a type A vessel and $55,000 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 C = subject to the constraints deluxe cabins standard cabins x ≥ 0 y ≥ 0
Formulate but do not solve the following exercise as a linear programming problem. Deluxe River Cruises...
I only need help with part d, how to find the shadow price. Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel, y, has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680...
A) Formulate but do not solve the following exercise as a linear programming problem. Madison Finance has a total of $18 million earmarked for homeowner loans and auto loans, where x is homeowner loans in millions of dollars and y is auto loans in millions of dollars. On the average, homeowner loans have a 10% annual rate of return, whereas auto loans yield a 12% annual rate of return. Management has also stipulated that the total amount of homeowner loans...
Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $16,000/day to operate, and it yields 55 or of gold and 3000 ou of silver each of days. The Horseshoe Mine costs $18,000/day to operate, and it yields 75 oz of gold and 1500 of siver each of y days. Company management has set a target of at least...
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 I and Location 11. The output at Location I is at most 5500 televisions/month, whereas the output at Location I is at most 5200 televisions/month. THA 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 2800...
Formulate but do not solve the following exercise as a linear programming problem. Anander plans to invest up to $500,000 in two projects Project A yields a return of on the investment of dollars, whereas Project yields a return of 13 on the investment of y dollars. Because the investment in Project is riskler than the investment in Project A, the financer has decided that the investment in Project should not exceed 40% of the total investment. How much should...
Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $40/acre, whereas the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7200 available for land cultivation. Each acre of Crop A requires 20 labor-hours, and each acre of Crop B requires 25 labor-hours. The farmer has a maximum of 2900 labor-hours available. If she expects...
Formulate but do not solve the following exercise as a linear programming problem A company manufactures x units of product A, y units of product, and units of product C Each product is processed in three departments: I, I, and TIL The total available labor hours per week for Departments I, II, and I are 920, 2000, and 310, respectively. The time requirements in hours per unit and profit per unit for each product are as follows. Product Product Product...
a) Formulate a cost function along with constraints, if any, for the following optimization problems. You don't need to solve any of these problems i) Two electric generators are interconnected to provide total power to meet the load. Suppose each generator's cost (C) is a function of its power output P (in terms of units), and costs per unit are given by: C2 = 1 + 0.6P2 + P22 (for Generator 2). -1-P -Pi2 (for Generator 1), If the total...