Question 1Rangaswamy owns 50 acres of land in the Hassan district of Karnataka on which he growsbananas and papayas. The total cost of producing bananas is Rs. 1,05,000 per acre while thetotal cost for papayas is Rs. 2,10,000 per acre. For the coming year Rangaswamy has a budgetof Rs. 63,00,000. He does not want to use any more than 15 acres for bananas and plans onusing at least 20 acres for papayas. The profit from each acre of bananas is Rs. 80,000 and frompapayas is Rs. 1,40,000.a) Formulate a linear programming problem (call this Primal LPP) to help Rangaswamydecide how many acres of each fruit to produce in order to maximize his total profit.Clearly define all the decision variables, objective function and constraints.

Decision variables: Let us take the number of acres for banana production as x and the number of…

Answered: Rangaswamy owns 50 acres of land in the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a) You are currently considering to join the Bakery business and advertise your products online. You discovered that you will be able to sell 10000 items if you set the price of 1 bread at RM2.50. However, you will be able to sell another 2000 items for every 10 cents price lowered below RM2.50. Assume that your fixed costs is RM3500, and the cost of production per item is RM0.90. Find i) the price that you should set per bread.ii) the number of breads that should be sold to maximize profit.iii) the maximum profit that you can get. b) The area of rectangular garden is 1000m2. The owner wishes to enclosed the garden on on side by a brick wall costing RM30 per meter and on the other three sides by a metal fence costing RM10 per meter.Show that the cost, C, of the material is C=40x+\frac{20000}{x}Find the dimension that will minimize the cost.Hence find the minimum cost to enclosed the garden.
Alphonse donates a fair amount of money to various charities each year. He wants to know that his money is actually going to do the charity work, though. Suppose that 90% of the charities that he donates to are probably reputable and 10% are probably not. Also, suppose that 80% of the money that goes to the real charities ends up actually being used for the charity work, while 20% goes to administrative costs. If he donates the same amount to each charity, then what percent probably goes to actual charity work? 72| % SUBMIT ANSWER O ASK FOR HELP TURN IT IN to search 344 111 80 Y U D H. V
Mr. Henok claims he has been unfairly dismissed by his employers. He consults a law firm owned by Mrs. Justice, who agrees to take up Henok’s case. The law consulting firm, owned by Ms Justice advises him that if Henok wins his case he can expect a compensation of 30,000 birr but if he loses he will receive nothing. The law consultant firm estimates her fee to be 5,000 birr. As an alternative the consultant offer him a ‘no win, no fee’ deal under which he pays no fee but if he wins his case, the consulting firm will take half of the compensation he receives. Henok also asked to pay his employer’s cost which is 1000 birr in both deals. He can decide against bringing the case, which will incur no cost and result in no compensation. Based on the information given above: a. Develop a payoff table to Henok’s case b. Advise Henok what to do: i. Using the maximax decision ruleii. Using the maximin decision rule.iii. Using the Minmax regret decision rule
Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.
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