Concept explainers
Explanation of Solution
Formulating preemptive goal
Let,
Consider the cost to purchase a color TV is 300 dollars and cost to purchase a voucher is 200 dollars. The maximum of amount that can be spend for purchasing is 20000dollrs. So, the constraint can be written as given below,
The sale of color TV earns a profit of 150dollars and the sale of VCR earns a profit of 100dollor and at least 11000dollors should be earned in profit from the sale. So, the constraints can be written as given below,
A color TV requires 3 square yard of storage space and VCR requires 1 square yard of storage space and no more than 200 square yard of storage space is required
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Introduction to mathematical programming
- Pneumatics Engineering purchased a machine that had a fi rst cost of $40,000, an expected useful life of 8 years, a recovery period of 10 years, and a salvage value of $10,000. The operating cost of the machine is expected to be $15,000 per year. The inflation rate is 6% per year and the company’s MARR is 11% per year. Determine the depreciation charge for year 3 according to the straight line method. (UNITS ARE REQUIRED)arrow_forwardPortfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio maximizes the expected return but provides an annual return of no less than 3%. for each of the following scenarios. Annual Returns (Planning Scenarios): mutual fund yr 1 yr 2 yr 3 yr 4 international stock 22.37 26.73 6.46 -3.19 low-cap blend 14.88 18.61 10.52 5.25 mid-cap blend 19.45 18.04 5.91 -1.94 small-cap blend 13.79 11.33 -2.07 6.85 intermediate bond 7.29 8.05 9.18 3.92 Formulate the appropriate linear program for this situation. (state the objective function, the decision variables, and the constraints)arrow_forwardClyde Clerk is reviewing his firm’s expense reimbursement policies with the new salesperson, Trav Farr. “Our reimbursement policies depend on the situation. You see, first we determine if it is a local trip. If it is, we only pay mileage of 45 cents a mile. If the trip was a one-day trip, we pay mileage and then check the times of departure and return. To be reimbursed for breakfast, you must leave by 7:00 A.M., lunch by 11:00 A.M., and have dinner by 5:00 P.M. To receive reimbursement for breakfast, you must return later than 10:00 A.M., lunch later than 2:00 P.M., and have dinner by 7:00 P.M. On a trip lasting more than one day, we allow hotel, taxi, and airfare, as well as meal allowances. The same times apply for meal expenses.” Draw a decision tree depicting the reimbursement policy in this Problem using LucidChart or Word documentarrow_forward
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- Redraw the logic diagram using 2-input basic gates only. AD B D c D DD ED 2.arrow_forwardProblem 2 Homely Development Corporation is considering bidding on a contract for a new office complex. The company needs to decide if it should bid on the contract. The codt of preparing the bid is $200,000. The company estimates that it has an 80% chance of winning the contract and 20% of losing the bid. If the company wins the bid it will have to pay $2,000,000 to become a partner in the contract. Once they are partners in the contract, they could conduct a market research study at $150,000. The research project could return with a forecast of a high market demand or low market demand. Regardless of the survey result must decide if they want to build the office complex or sell the rights to another company. Homely estimates that selling the contract rights will generate revenues of $3,500,000. If Homely decides to build the office complex they will generate $5,000,000 in revenue if demand is high and $3,000,000 if demand is low. Information for this project is listed below. Cost of…arrow_forwardWilson Creek Farm has 200 acres of land available for planting. The owner is considering planting three crops: corn, soybeans, and wheat. The production yield, water requirements, and labor requirements for a salable crop are given here. The owner expects to have only 35,000 gallons of water available per week to use for the crops, and during the growing season he will only have 8000 person-hours of labor available. The expected profit per bushel of each crop is $1.00 for corn, $1.60 for soybeans, and $3.00 for wheat. The owner can use any mix of crops (i.e., he can plant the same crop on all 200 acres or he can plant all three crops in different proportions). d. Solve the problem using Excel Solver Tool. Add supporting pictures from the software for each step. Discuss your output in line with the given reports from Excel. Bushels/ Acre Water Required Produced (gal/acre/week) Crop 300 Corn Soybeans 200 Wheat 80 200 150 125 Person-Hours Labor Required/Acre 35 40 30arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole