Describe what is meant by the shadow price in linear programming
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Q: Explain what is meant by the shadow price in linear programming?
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Describe what is meant by the shadow price in linear programming?
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- Case: AGUSTINE SCHOOL PROM Many children of high-income families in Cabanatuan City and Nueva Ecija are sent by their parents to study in exclusive schools in Manila. Unmindful of the costs, the parents maintain the view that real education has a high price tag. The public elementary schools as well as the public high schools are perceived, rightly or wrongly, as not being able to deliver the quality of educational services needed. Even if this is so, enrolment in public schools has swelled to more than 60 students per class. The rule in public schools, except college, is to accommodate everybody. Currently, the opening of Montessori and private elementary schools in the area has provided some relief to parents who want quality education for their children. The older private schools are now competing with the new Montessori and private elementary schools which charge higher tuition fees. Miss Jana Agustin is a teacher at the same time marketing officer to promote the school. She…Aa33 Economics A solar factory is considering to invest $100,000 in a new machine. The necessity for this machine is predicted to endure only two years due to a quick shift in product mix, after which the machine is expected to have a salvage value of $40,000. The addition of this equipment to the current manufacturing plant is expected to bring $65,000 per year in revenue and the cost of operating is anticipated to be $7,000 per year. The factory only has $75,000 in equity funds, so it needs to borrow the remaining $25,000 at an 8% yearly interest rate, which will be paid back in two equal annual installments. The factory’s effective corporate tax rate is 18%. Assume the asset qualifies for a MACRS property classification of seven years. What is the project’s net present value with a MARR of 16%? (First, you should determine the annual after-tax cash flows) A) -$7,651.5 B) $12,891.9 C) $17,348.5 D) Answers A, B and C are not correctIn preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $33 per doll. During the holiday selling season, FTC will sell the dolls for $41 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is uncertain. The normal probability distribution with an average of 60,000 dolls and a standard deviation of 15,000 is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Create a what-if spreadsheet model using formulas that relate the values of production quantity,…
- In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $35 per doll. During the holiday selling season, FTC will sell the dolls for $43 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is uncertain. The normal probability distribution with an average of 60,000 dolls and a standard deviation of 15,000 is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Create a what-if spreadsheet model using formulas that relate the values of production quantity,…The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The company’s cost analyst has concluded that utilities cost is a mixed cost, and he is attempting to find a base with which the cost might be closely correlated. The controller has suggested that tons mined might be a good base to use in developing a cost formula. The production superintendent disagrees; she thinks that direct labor-hours would be a better base. The cost analyst has decided to try both bases and has assembled the following information: Quarter TonsMined DirectLabor-Hours UtilitiesCost Year 1: First 25,000 6,000 $ 60,000 Second 17,000 4,000 $ 55,000 Third 30,000 5,000 $ 70,000 Fourth 22,000 7,000 $ 85,000 Year 2: First 28,000 11,800 $ 118,000 Second 35,000 10,800 $ 123,000 Third 40,000 9,800 $ 95,000…In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is uncertain. The normal probability distribution with an average of 60,000 dolls and a standard deviation of 15,000 is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. Besides average profit, what other factors should FTC consider in determining a production quantity?…
- In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. In addition to mean profit, what other factors should FTC consider in…How does the presence of one production constraint affect the relevant cost analysis model? Two ormore production constraints?Amy Lloyd is interested in leasing a new Honda and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles are as follows: Dealer Monthly Cost Mileage Allowance Cost per Additional Mile Hepburn Honda $299 36,000 $0.15 Midtown Motors $305 45,000 $0.20 Hopkins Automotive $325 54,000 $0.15 Amy decided to choose the lease option that will minimize her total 36-month cost. The difficulty is that Amy is not sure how many miles she will drive over the next three years. For purposes of this decision, she believes it is reasonable to assume that she will drive 12,000 miles per year, 15,000 miles per year, or 18,000 miles per year. With this assumption Amy estimated her total costs for the…
- Ray Holt seeks an investment for his new business. The investor will bear all the costs(fixed + variable) and wants a rate of return of at least Y%. For the business fixed cost is Fc, selling price of a unit is Sp, and Cost of production of a unit is Cp. How many units, x, should Ray Holt maketo meet the investor’s rate of return requirement? If the requested rate of return is 10%, fixed cost is $10,000, selling price is $5, and cost of production is $3, how many units should be made?What is the distinction between simulated and anticipated average demand:The village board of Park City, Utah, arranges for the clearing of all snow in city streets. Weekly snowfall during the winter is normally distributed with a mean of 10 inches and a standard deviation of 4 inches. The board is considering a long term contract with a snow removal company. The long- term contract costs $1000 per truck per week. Thus, if the board signs a long-term contract for 12 inches, they pay $12,000 per week whether the trucks are used or not. Each truck is capable of clearing 1 inch of snow per week. If snowfall in a week exceeds the quantity that can be handled by the trucks included in the long term lease, the board must make emergency arrangements at a cost of $2,500 for each additional truck brought in. For how many trucks should the board sign a long term contract?