1. A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and has space for almost 20 items. A fan costs him 360 ETB and sewing machine 240 ETB. His expectation is that he can sell a fan at profit of 22 ETB and a sewing machine at a profit of 18 ETB. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. (Note: ETB - Ethiopian Birr) a. Formulate it as a linear programming problem (LPP) b. Use the graphical method to solve it.
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- Pricing Decisions at Madison The Madison Company manufactures and retails a certain product. The company wants to determine the price that maximizes its profit from this product. The unit cost of producing and marketing the product is 50. Madison will certainly charge at least 50 for the product to ensure that it makes some profit. However, there is a very competitive market for this product, so that Madisons demand falls sharply when it increases its price. How should the company proceed?2 In the pricing model in Example 7.1 with the constant elasticity demand function, the assumption is that all units demanded are sold. Suppose the company has the capacity to produce only 200 units. If demand is less than capacity, all of demand is sold. If demand is greater than or equal to capacity, only 200 units are sold. Use Solver to find the optimal price and the corresponding profit. Then use SolverTable to see how sensitive these answers are to the production capacity, letting it vary from 170 to 230 in increments of 10. Discuss your findings relative to the original solution in Example 7.1. In other words, what is the effect of capacity on the optimal price and profit?44. The Kirei-Hana Japanese Steak House in San Francisco consumes 3,000 pounds of sirloin steak each month. Yama Hirai, the new restaurant manager, recently completed an MBA degree. He learned that the steak was replenished using an EOQ value of 2,000 pounds. The EOQ value was computed assuming an interest rate of 36 percent per year. Assume that the current cost of the sirloin steak to the steak house is $4 per pound. a. What is the setup cost used in determining the EOQ value? Mr. Hirai received an offer from a meat wholesaler in which a discount of 5 percent would be given if the steak house purchased the steak in quantities of 3,000 pounds or more. b. Should Mr. Hirai accept the offer from the wholesaler? If so, how much can be saved? c. Because of Mr. Hirai's language problems, he apparently misunderstood the offer. In fact, the 5 percent discount is applied only to the amounts ordered over 3,000 pounds. Should this offer be accepted, and if so, how much is now saved?5. An insurer charges a loading of 30% on its policies with limit $500,000, anda loading of 33% on its policies with limit $1,000,000. It purchases stoploss reinsurance of $500,000 over $500,000. The cost of this reinsurance is22% of total premiums. What is the reinsurer’s loading on the reinsurancepolicy?
- 49 The local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $7.00 a box. The lettuce is sold for $18.00 a box and the dealer that sells old lettuce is willing to pay $2.00 a box. Past history says that tomorrow's demand for lettuce averages 255 boxes with a standard deviation of 40 boxes.Pane 3. Assume a company receives cash from different geographic areas of $500,000 daily. The average float of the cash receipt is 4 days. Interest rate on savings is 6% per year. If the company institutes a lock-box system, it will reduce the float to two days. It will cost $80,000 to install the lock-box system and an additional monthly fee of $1,000 to operate it. Should the company install the lock-box system?13.6. The Ambrosia Bakery makes cakes for freezing and subsequent sale. The bakery, which operates five days a week, 52 weeks a year, can produce cakes at the rate of 116 cakes per day. The bakery sets up the cake-production operation and produces until a predetermined number (Q) has been produced. When not producing cakes, the bakery uses its personnel and facilities for producing other bakery items. The setup cost for a production run of cakes is $700. The cost of holding frozen cakes in storage is $9 per cake per year. The annual demand for frozen cakes, which is constant over time, is 6000 cakes. Determine the following: a. Optimal production run quantity (Q) b. Total annual inventory costs c. Optimal number of production runs per year d. Optimal cycle time (time between run starts) e. Run length in working days
- 108 Which of the following components of an ARM adjust periodically, resulting in a change In the monthly payment? A) Index and margin B) Index and interest rate C) Margin and interest rate D) Margin and discount pointsA raw material sales reрresentative will get 2 % commission on the first Ρhр 200,000.00 of his sales. 3.5 % on the next Ρhр 200,000.00 sales and 5 % on all sales in excess of sum of the first two sales. What was his commission last May for his sales that amounted to Ρhр 482,785.00 ?Xolani has just completed matric and has enrolled at a University in Cape Town, tocomplete a BCom Degree. His dad is unable to drop and fetch Xolani due to workcommitments and therefore believes it best to purchase Xolani an entry-level car, notmore than R150 000. He has given Xolani the freedom to choose and purchase thecar. Xolani has two older brothers who are car enthusiasts with lots of experience.He decides to take them along to the car dealerships. They helped him find a car thatwas safe with a fair number of additional features and style. Xolani was happy to bedriving himself to Varsity on his first day. 1 - Read the scenario above and identify examples of the following family roles. Youmay make assumptions as you see fit. Explain your answers. Initiator Influencer User Decision maker Purchaser 2 - Read the scenario above and identify examples for each phase of Xolani’s decisionmaking process, when purchasing his car.
- In the last 12 months the quantities shown inTable 1 of light vehicles of a brand "R" were sold in the national territory.The selling price of each R vehicle is 12590€. The production cost(including raw material cost) of one is 7730€. The company usesown transportation to transport the vehicles worth 420€, andgiven the distance to the factory, takes on average, 8days, with a standard deviation of 2 days. Storage until saleis estimated at 150€/unit.year. The companyfinancial loans at an annual rate of 2.2%. Consider that ayear has 264 working days.a) Determine the economic order quantity.b) Consider that a service level of 85% (Z=1.036) is to be ensured using a continuous reviewinventory management policy of continuous review. Determine:i. The order point.ii. The economic order quantity considering stock-outs. Month Sales Month Sales 1 2235 7 3078 2 3206 8 2366 3 4298 9 1966 4 3309 10 2149 5 3640 11 2387 6 4038 12 2492A lathe costs $56,000 and is expected to result in net cash inflows of $20,000 at the end of each year for three years and then have a market value of $10,000 at the end of the third year. The equipment could be leased for $22,000 a year, with the first payment due immediately. If the organization does not pay income taxes and its MARR is 10%, show whether the organization should lease or purchase the equipment.Discuss the banks position in each of the following situations and state what actions you will take: i. B.A Samuelson had maintained an account with you for 3 years. He has been a satis-factory customer, but in recent months his account has been overdrawn. You have writ-ten on three occasions recently requesting repayment. He works as a claims manager for a popular insurance company whose account you do not hold. The insurance com-pany was claiming from your bank refund of the value of a cheque for GHȼ1,250,000. The cheque which was made out in the name of A. Samuel and crossed “not negotiable” was fraudulently altered by Mr. Samuelson after it has been signed. No enquiry was made of B.A Samuelson when he lodged in this cheque for collection.