the simplex method

6. [0/1 Points] DETAILS PREVIOUS ANSWERS HARMATHAP12 4.3.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the simplex method to maximize the given function. Assume all variables are no Maximize / = 20r + 12y+ 122 subject to the following 2 s 55 y + 2 4 55 (.3.2 - x Need Help? Read It 7. [-/1 Points] DETAILS HARMATHAP12 4.3.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Excel to solve the linear programming problem. Maximize f=x+ 3y +2 subject to the following. Y+ 23 10 (x. y.z) . d Help? Read It Watch it Submit Answer [-/1 Points] DETAILS HARMATHAP 12 4.3.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the simplex method to maximize the function (if possible) subject to the given constraints. If there is no solution, indicate this; if multiple solutions exist, find one of them. (If there is no solution, enter NO SOLUTION) Maximize f= ar + 27 subject to x - 107 = 40 -x + y= 60 1 = Need Help? Read! You 9. [-/1.1 Points] DETAILS HARMATHAP12 4.3.039.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Q-RAM Inc. manufactures solid-state drives (SSDs) of two sizes, 500 GB and 1.5 TB. The company can make a total of 50 drives per day. and it has available 120 labor-hours per day. It takes 1 labor hour to make a 500 08 drive and 3 hours to make a 1.5 TB drive. The profits are $40 per 500 GB drive and $60 per 1.5 TB drive. (Let x equal the number of 500 GB drives. Let y equal the number of 1.5 TB drives) (a) White the initial simplex matrix to maximize the daily profit. (b) Find the maximum profit, Find the number of each type of drive that will give the maximum profit. 500 GR drives 1.5 TB drives Need Help? need More O 9:55 00 M LA 10. [-/1 Points] DETAILS HARMATHAP12 4.3.041 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER At one of its factories, eat shirts makes two styles: crewneck pullover and hooded. Each pullover sweatshirt takes 5 minutes to cut out and 20 minutes to assemble and finish. Each hooded sweatshirt takes 5 minutes to cut cut and 30 minutes to assemble and finish. The plant has enough workers to provide at most 3,750 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pullover sweatshirt is $7 and the profit on each hooded weatshirt is $9. How many of each sweatshirt should be produced each day to obtain maximum profit? Find the maximum daily profit. Need Help? Read It 11. [-/1 Points] DETAILS HARMATHAP12 4.3.042 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A car rental agency has a budget of $1.54 milion to purchase at most 90 new cars. The agency will purchase either subcompact cars at $14000 each or midsized cars at $28,000 each. From past rental patterns, the agency decides has, the agency decides to purchase at most 50 midsized cars and expects an annual profit of $6,000 per subcompact car and $1 1,000 per midsized car. How many of each type of car should be purchased to obtain the maximum profit while satisfying budgetary and other planning constraints? subcompact cars midsized cars Find the maximum profit. Need Help? Read ! Young 12. [-/1 Points] DETAILS HARMATHAP12 4.3.045. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER es. Solve it with the simplex method, Excel, or some other technology. A contractor bull three types of houses: the Jules, the Belfair, and the Wexford. Each house requires one lot, and the following table e amount of capital needed for each type of house, as well as the profit on the sale of each gives the number of labor-hours and the amount of capital needed house. There are 13 lots, 51.200 laborhours, and $3,692,600 available for the contractor's use. Aries Wexford Labor-hours 3.800 3.700 5.060 $205.800 $279800 4350,060 125,000 130,060 (a) Building how many of each type of house will maximize his profit? Afiles Wexford (b) What is the maximum possible profit? Need Help? Read It 13. [-/1 Points] DETAILS HARMATHAP12 4.3.046 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER e variables. Solve it with the simplex method, Excel, or some other technology. A medical clinic performs three types of medical tests that use the same machines. Tests A B, and C take 15 minutes, 30 minutes, and 1 hour, respectively, with respective profits of $110, $280, and $510. The clinic has four machines and four workers available. One person is qualified to do test A two to do test B, and one to do test C. If the clinic has a rush of customers for these tests, how many of each type should it schedule in a 6-hour day to maximize its profit? Need Help? Read It