3. Mocca Blanca invested P45, 000 for 2 years and 8 months and earn P12,450 interest. What was the simple interest rate?
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- If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?An investment portfolio earned $2010 in interest last year. If $3000 wasinvested at a certain rate of return and $24000 was invested in a fund with arate that was 4% lower, find the two rates of interest.
- Formulate 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?A manufacturer of lightweight mountain tents makes a standard model and an expeditionmodel for national distribution. Each standard tent requires 1 labour hour from the cuttingdepartment and 3 labour hours from the assembly department. Each expedition tent requires 2labour hours from the cutting department and 4 labour hours from the assembly department.The maximum labour hours available per day in the cutting department and the assemblydepartment are 32 and 84 respectively. If the company makes a profit of E50 on each standardtent and E80 on each expedition tent, use the graphical method to determine how many tentsof each type should be manufactured each day to maximize the total daily profit?Zimlick, Inc, a US pasta-machine manufacturer, is considering a $2.1 million device from United Technologies Corporation to automate pasta-machine quality inspection. The device will be depreciated according to the straight-line method over three years. The useful life of the device is 5 years, with an estimated sale value at year 5 of $300,000. The project will allow less pasta machines to be scrapped because of low quality, generating pretax earnings of $900,000 per year, and will not change the risk level of the firm. Zimlick’s cost of capital is 18%. The tax rate is 30%. Q1. Show a forecast of the cash flows for the project Q2. What is the net present value of the project? Q3. What is the IRR of the project? Q4. Would you undertake the investment? Why or why not?
- Let x1 and x2 be the payoffs of two investmentTwo fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda vs. Alien T-shirts in the student center, but are not sure how much to charge. Sig Ep treasurer Augustus recalls that they once sold 200 shirts in a week at $6 per shirt, but Ep Sig treasurer Julius has solid research indicating that it is possible to sell 400 per week at $2 per shirt. (a) On the basis of this information, construct a linear demand equation for Yoda vs. Alien T-shirts. Hence obtain the weekly revenue R as a function of the unit price x. R(x) = (b) The university administration charges the fraternities a weekly fee of $300 for use of the student center. Write down the weekly profit P as a function of the unit price x. HINT [See Example 4.] P(x) = Determine how much the fraternities should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit? $In 2005, there were 14,000 students at college A, with a projected enrollment increase of 500 students per year. In the same year, there were 19,000 students at college B, with a projected enrollment decline of 750 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time? In the year ___ enter your response here,the enrollment at both colleges will be the same.