SOCIAL PROGRAMS PLANNING AntiFam a hunger-relief organization, has earmarked between
Hint: If x and y denote the amount of money to be given to Country A and Country B, respectively, then the objective function to be maximized is
Trending nowThis is a popular solution!
Chapter 3 Solutions
FINITE MATH.F/MGRL....(LL)>CUSTOM PKG.<
- 5arrow_forwardFormulate an IP that can be used to maximize Highland’s profit. How much more profit could be attained if Highland rented another 50 sq. ft. of floor space? How much should Highland be willing to pay for this extra footage? How much more profit could be attained if marketing changed their requirement so that only 40% of all appliances in stock be radios (keeping the floor space at 200 sq. ft.)? How much more profit could be attained if Highland was willing to have $3500 worth of capital tied-up (keeping the floor space at 200 sq. ft. and the marketing requirement at 40%)? How should Highland decide if it is worthwhile to increase this value?arrow_forwardSolve this question with Equipment Replacement Methodarrow_forward
- 4. An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safe stock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit his investment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stock to 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? (a) Define the variables. Be specific with descriptive words. x₁ = x₂ = x3 = (b) Clearly state the constraints (all inequalities) related to the feasible region. (c) State the objective function. 7arrow_forwardFilter Corp. has a project available with the following cash flows: Year Cash Flow 0 1 2 3 4 -$15,800 5,200 6,500 5,900 4,300 What is the project's IRR? Multiple Choice 15.54% 14.92% 16.58% 17.40% 16.16%arrow_forwardMallory Manufacturing produces thermal tents and sleeping bags. The company’s products are in high demand due to the quality and durability of the products. Mallory estimates it could sell 600 tents per month and 600 sleeping bags per month. Following is information for each of these products: Tent Sleeping Bag Selling price per item $68 $43 Variable cost per item 49.5 29 Contribution margin per item $18.5 $14 Machine hours per item 1.1 0.8 Mallory has 800 machine hours available each month. If Mallory allocates its production capacity between the tents and sleeping bags so that it maximizes the company’s contribution margin, what will the contribution margin be? (a) $14000 (b) $13765 (c) $31273 (c) $19500arrow_forward
- Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 6% for home loans, 10% for personal loans, and 11% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. (a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let H = amount allocated to home loans P = amount allocated to personal loans A = amount allocated to automobile loans Max s.t. Home Personal Automobile H + H + H + % H + P + P + P + P + (b)…arrow_forward1. Redback Industries is a relatively small but successful and fast-growing maker of peripheral devices for cell phones including battery chargers, enhanced antennas, SIM cards, and custom carrying cases. Costco is considering purchasing Redback in order to sell the devices as private label offerings. However, Costco has set an offer price of $ 600M that depends on whether Redback’s current Annual Net Income is higher and significantly different from its 14-year average of $ 104.5M per year; Redback has indicated it is willing to sell itself to Costco at the $600M price. Use the following information to determine at the 95 % Level Of Confidence whether Costco will proceed with the purchase at the planned price of $ 600M or will lower its offering price if Redback’s current Annual Net Income is not greater than $ 104.5M per year. Redback Industries Normalized Yearly Annual Net Income over the last 14 years is $ 104.5M Redback Industries is currently reporting Yearly Annual Net…arrow_forwardThe employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans. 8 Furniture loans 10 Other secured loans Signature loans Risk-free securities The credit union will have $1.8 milion available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments: Risk-free securities may not exceed 25% of the total funds available for investment. Signature loans may not exceed 12% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans. Other…arrow_forward
- Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 5% for home loans, 13% for personal loans, and 7% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. (a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let H = amount allocated to home loans P = amount allocated to personal loans A = amount allocated to automobile loans Маx H + P + s.t. H + A 2 Minimum Home Loans P + AS Personal Loan…arrow_forwardFormulate but do not solve the problem.The management of a private investment club has a fund of $200,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 14%/year; medium-risk stocks, 9%/year; and low-risk stocks, 6%/year. The investment in low-risk stocks is to be twice the sum of the investments in stocks of the other two categories. If the investment goal is to have an average rate of return of 9%/year on the total investment, determine how much the club should invest in each type of stock. (Assume that all the money available for investment is invested. Let x, y, and z denote the amount, in dollars, invested in high-, medium-, and low-risk stocks, respectively.) = 200,000 = z = .09(200,000)arrow_forwardTiger Funds Ltd. operates a number of mutual funds in high technology and in financial sectors. Hussein Roberts is a fund manager who runs a major fund that includes a wide variety of technology stocks. As fund manager he decides which stocks should be purchased for the mutual fund. The compensation plan for fund managers includes a first-year bonus for each stock purchased by the manager that gains more than 10% in the first six months it is held. Of those stocks that the company holds, 40% are up in value after being held for two years. In reviewing the performance of Mr. Roberts, they found that he received a first-year bonus for 60% of the stocks that he purchased that were up after two years. He also received a first-year bonus for 40% of the stocks he purchased that were not up after two years.What is the probability that a stock will be up after two years given that Mr. Roberts received a first-year bonus?arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education