A real-estate firm owns 100 apartments in Lilanda compound in Lusaka. At K400 per month, each apartment can be rented. However, for each K10- per- month increase, there will be two vacancies with no possibility of filling them. What rent per apartment will maximize monthly revenue? O A. K350 ОВ. К450 ОС. К400 OD. K500
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.you are thinking of opening a small copy shop. It costs $5000 to rent a copier for a year, and it cost $0.03 per copy to operate the copier. Other fixed costs of running the store withh amount to $400 per month. You plan to charge $0.10 per copy, and the store will be open 365 days per year. Each copier can make up to 100,000 copies per year. a. for one to five copiers rented and daily demands of 500, 1000, 1500, 2000 copies perday, find annual profit. That is, find annual profit for each of these combinations of copiers rented and daily demand. b. if you rent three copies, what daily demand for copies will allow you to break even? c. Graph profit as a function of the number of copiers for a daily demand of 500 copiers; for a daily demand of 2000 copies. Interpret your graphYou are thinking of opening a small copy shop. It costs $5000 to rent a copier for a year, and it costs $0.03 per copy to operate the copier. Other fixed costs of running the store will amount to $400 per month. You plan to charge an average of $0.10 per copy, and the store will be open 365 days per year. Each copier can make up to 100,000 copies per year. a. For one to five copiers rented and daily demands of 500, 1000, 1500, and 2000 copies per day, find annual profit. That is, find annual profit for each of these combinations of copiers rented and daily demand. b. If you rent three copiers, what daily demand for copies will allow you to break even? c. Graph profit as a function of the number of copiers for a daily demand of 500 copies; for a daily demand of 2000 copies. Interpret your graphs.
- Stan Moneymaker needs 15 gallons of gasoline to top off his automobile’s gas tank. If he drives an extra eight miles (round trip) to a gas station on the outskirts of town, Stan can save $0.10 per gallon on the price of gasoline. Suppose gasoline costs $3.90 per gallon and Stan’s car gets 25 mpg for in-town driving. Should Stan make the trip to get less expensive gasoline? Each mile that Stan drives creates one pound of carbon dioxide. Each pound of CO2 has a cost impact of $0.02 on the environment. What other factors (cost and otherwise) should Stan consider in his decision making?SureStep is currently getting 160 regular-time hours from each worker per month. This is actu-ally calculated from 8 hours per day times 20 days per month. For this, they are paid $9.375 per hour(51500y160). Suppose workers can change theircontract so that they only have to work 7.5 hours perday regular-time—everything above this becomesovertime—and their regular-time wage rate increasesto $10 per hour. They will still work 20 days per month. Will this change the optimal no-backloggingsolution?Assume the demand for a company’s drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year,it will cost $16x. Each unit of Wozac is soldfor $3. Each unit of Wozac produced -incurs a variable production cost of $0.20. It costs $0.40 per year to operate a unit of capacity.Determine how large a Wozac plant the company should build to maximize its-expected profit over the next 10 years.
- A manufacturer produces both widgets and gadgets. Widgets generate a profit of $70 each and gadgets have a profit margin of $45 each. To produce each item, a setup cost is incurred. This setup cost is $400 for widgets and $500 for gadgets. Widgets consume 5 units of raw material A and 6 units of raw material B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer has 500 units of each raw material available. Assume that it is possible to produce fractional quantities of widgets and gadgets.Set up the problem in Excel and find the optimal solution. (Leave no cells blank — be certain to enter "0" wherever required. Round your answers to 2 decimal places.) (Round your answer to 2 decimal places.)A manufacturer produces both widgets and gadgets. Widgets generate a profit of $25 each and gadgets have a profit margin of $75 each. To produce each item, a setup cost is incurred. This setup cost is $400 for widgets and $300 for gadgets. Widgets consume 6 units of raw material A and 8 units of raw material B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer has 400 units of each raw material available. Assume that it is possible to produce fractional quantities of widgets and gadgets. Set up the problem in Excel and find the optimal solution. The manufacturer will produce .......widgets and ...... gadgets the manufacturer's profit will be ......A major oil company is considering the optimal timing for the construction of new refineries. From past experience, each doubling of the size of a refinery at a singlelocation results in an increase in the construction costs of about 68 percent. Furthermore, a plant size of 10,000 barrels per day costs $6 million. Assume that thedemand for the oil is increasing at a constant rate of two million barrels yearly andthe discount rate for future costs is 15 percent.a. Find the values of k and a assuming a relationship of the form f(y) kya.Assume that y is in units of barrels per day.b. Determine the optimal timing of plant additions and the optimal size of each plant.c. Suppose that the largest single refinery that can be built with current technology is 15,000 barrels per day. Determine the optimal timing of plant additionsand the optimal size of each plant in this case. (Assume 365 days per year foryour calculations.)
- SureStep is currently getting 160 regular-time hours from each worker per month. This is actually calculated from 8 hours per day times 20 days per month. For this, they are paid $9.375 per hour (51500y160). Suppose workers can change their contract so that they only have to work 7.5 hours per day regular-time— everything above this becomes overtime—and their regular-time wage rate increases to $10 per hour. They will still work 20 days per month. Will this change the optimal no-backlogging solution?The company is interested in determining when to produce a batch of speakers , and how many speakers to produce to each batch. b. Suppose now that the unit cost for every speaker is $11 if less than 10,000 speakers are produced, $10 if production falls between 10,000 and 80,000 speakers, and $9.50 if production exceeds 80,000 speakers. What is the optimal policy?A manufacturer produces both widgets and gadgets. Widgets generate a profit of $50 each and gadgets have a profit margin of $40 each. To produce each item, a setup cost is incurred. This setup cost is $300 for widgets and $400 for gadgets. Widgets consume 5 units of raw material A and 4 units of raw material B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer has 600 units of each raw material available. Assume that it is possible to produce fractional quantities of widgets and gadgets. Set up the problem in Excel and find the optimal solution.