A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 6% annualinterest and in mutual funds paying 9% annual interest. He plans to invest at least $5 million in bonds and at least $10million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 permillion. The fund manager is allowed to spend no more than $7000 on fees. How much should be invested in each tomaximize annual interest? What is the maximum annual interest?View an example Get more help.820 F3The amount that should be invested in Treasury bonds is $funds is $$million.S4$gogRFVF4%5TF5B106YF6H&7NF7UJ*8AMmillion and the amount that should be invested in mutual(9KClear allAO)0ALF10Check answerPV7+ 11#0101 The maximum annual interest is $

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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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The Solid Trust Savings & Loan Company has set aside $25 million for loans to home buyers. Its policy is to allocate at least $10 million annually for luxury condominiums. A government housing development grant that the company receives requires, however, that at least one third of its total loans be allocated to low-income housing. Solid Trusts return on condominiums is 12%, and its return on low-income housing is 10%. How much should the company allocate for each type of housing to maximize its total returns?
A couple has budgeted $3000 for their rehearsal dinner. The sales tax is 7.05% and they tip 18%. Part A: How much can the couple spend on dinner only, before tax and tip, if they tip on the total bill (dinner + tax)? Round your answer to the nearest penny. Part B: How much can the couple spend on dinner only, before tax and tip, if they tip only on the cost of the meal, and not the meal + tax? Round your answer to the nearest penny.
Jonathan has a universal life insurance policy with a face value of $500,000. The current cash value of the policy is $11,260. Jonathan wants to stop paying premiums for a few months while he changes jobs. The premium is $134 per month. Part A: What will the cash value of the policy be, without adding any interest, if he doesn’t pay the premium for a year? Part B: For how many months could Jonathan use the cash value (without interest) to pay for the $134 premiums?
Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 5.2 % interest, and stocks pay 10.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 10137.5 , how much was invested in each account?Maricopa Success invested $ in stocks.Maricopa Success invested $ in bonds.Maricopa Success invested $ in CDs
How do I set this up? A realtor sold a home for $345,500. The commission was 55% of the saleprice; however, the realtor receives only 60% of the commission while 40% of the commission remains with his broker. Find the amount of commission received by the realtor.
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…
Kindly assist.
3. Investments Nui invests $10,000, received from her grandmother, in three ways. With one part, she buys mutual funds that offer a return of 6.5% per year. She uses the second part, which amounts to twice the first, to buy government bonds at 6% per year. She puts the rest in the bank at 5% annual interest. The first year her investments bring a return of $605. How much did she invest in each way?
You manage a spare parts warehouse for an Electric Car Company. Dealers come by the warehouse to purchase batteries and you replenish your inventory at the start of every month or when the inventory of batteries is exhausted. At the start of December, the warehouse contains 10 batteries, 3 of which are not fully charged. You must reimburse $50 to a dealer if they need to charge a battery at their facility.
You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The cost of ingredients is $8.16. • You can have an order delivered for $29.50, including any and all charges. • Alternatively, you can make your own. To make your own, you need ingredients plus one hour of your time. Assuming no imports, how much GDP is created if you choose to make your own? Round to two decimal places. Do not enter the currency symbol, but enter the negative sign if appropriate. If your answer is -$1.125, enter -1.13. 8.16
After one year Jonny's two mutual funds returned a total of $14,370. The first fund returned 2% and the second, in which he had invested $16,000 more, returned 11%. What was the amount of Jonny's original investment? Jonny's original investment was $
Two plans are available for a company to obtain automobiles for its salesmen.Plan A: Lease the cars and pay P15 per kilometer.Plan B: Purchase the cars for P500,000. Each car has an economic life of three years after which it can be cold for P120,000. Gas and oil cost P4 per kilometer. Insurance is P50,000 per year. How many kilometers must the cars be driven each year for the two plans to have the same costs? Use an interest rate of 10%. Use year-end convention for all costs.

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