Mrs. Reyes needs a diet that will supply her with at least 1,200 calories and at least 700 units of Vitamin C per day. Two types of food meet this requirement. Each unit of Food 1 contains 20 calories and 10 units of Vitamin C and costs P9.00; each unit of Food 2 contains 15 calories and 10 units of Vitamin C, and costs P7.00. By the simplex method, determine the best possible combinations of the two types of food that will minimize cost while meeting the dietary requirements.
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Mrs. Reyes needs a diet that will supply her with at least 1,200 calories and at least 700 units of Vitamin C per day. Two types of food meet this requirement. Each unit of Food 1 contains 20 calories and 10 units of Vitamin C and costs P9.00; each unit of Food 2 contains 15 calories and 10 units of Vitamin C, and costs P7.00. By the simplex method, determine the best possible combinations of the two types of food that will minimize cost while meeting the dietary requirements.
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- A manufacturer has a production facility that requires 15,604 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 7 days. The unit purchase cost is $25.6 per unit. The cost to place and process an order from the supplier is $121 per order. The unit inventory carrying cost per year is 10.5 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 2,640 units per order, what is the annual holding cost? Use at least 4 decimal places.Bruin Properties is in escrow to buy a 175,000 square foot shopping center in Camarillo, California for $35,000,000. Bruin Properties can borrow $24,000,000 fixed rate fully amortizing over 30 years at a 6.0% annual interest rate with equal monthly payments of principal and interest or it can borrow $28,000,000 fixed rate fully amortizing over 30 years at a 7.0% annual interest rate with equal monthly payments of principal and interest. What is the incremental annual borrowing cost for the additional $4,000,000 loan amount if each loan would be outstanding for the full 30 year term? a.13.0% b.12.4% c.11.5% d. 7.0%You are the manager of a retail store that sells home theater systems among other products. The weekly demand for these systems is 600. The warehouse you rent to store the inventory of home security systems charges you $8 per month for holding each unit of inventory. You buy these systems from a very reliable supplier for $250 per piece and sell each for $500 per piece. Each time you place an order to buy the systems from your supplier, you pay $416 as a fixed fee per order regardless of the quantity. Once the order is placed, the supplier takes exactly 1 week to deliver the order regardless of the quantity ordered. Please use this information to answer the following questions: a) What is the optimal order quantity (i.e. Economic Order Quantity OR EOQ - i.e. what quantity should be ordered per order) that would minimize the total annual ordering and holding costs? b) What is the ideal reorder level assuming no safety stock (i.e. the inventory level at which you should place the…
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- The number of taxicabs in Motorville and the taxicab fares are regulated. The fare currently charged is Rs.500 a ride. Motorville taxicab drivers want to obtain government's permission to raise the fare to increase their revenues and ask you to be their economic adviser. After studying the market, you come up with the following demand schedule for taxicab rides: Price (Rupees per ride) Quantity demanded (rides per month) 300 160 400 120 500 80 600 40 700 0 (i) Calculate the price elasticity of demand for taxicab rides as the fare rises from Rs.500 to Rs.600. Is the demand…A home improvement store sells hydrangea plants during the spring planting season. The hydrangeas cost the store $15 per unit, and sell to customers for $45, but any leftovers at the end of the season are salvaged to a local landscaper for $7/unit. A competitor has advertised that it guarantees 99% of customers find the product they’re looking for in stock. The competitor’s posted price for hydrangeas is $50, and they salvage to the same local landscaper for $7/ hydrangea plant. If the competitor’s advertised service level is correct for hydrangeas and they follow an optimal stocking policy, what does it imply their cost per hydrangea is?Jasmine owns 12 apartment buildings in a college town, which it rents exclusively to students. Each apartment building contains 120 rental units, but the owner is having cash flow problems due to an average vacancy rate of nearly 50 percent. The apartments in each building have comparable floor plans, but some buildings are closer to campus than others. Jasmine’s accumulated data from last year on the number of apartments rented, the rental price (in dollars), and the amount spent on advertising (in hundreds of dollars) at each of the 12 apartments are available below. These data, along with the distance (in miles) from each apartment building to campus, are presented below. Jasmine is looking for expert advice on the available data to inform administrative and business policy. By applying this scenario, help her regress the quantity demanded of her apartments on price, advertising, and distance datasets by using Excel or SPSS. Observation or (Number of Apartments) Quantity…
- Dorothy lacks cash to pay for a $840.00 dishwasher. She could buy it from the store on credit by making 12 monthly payments of $71.52. The total cost would then be $858.24. Instead, Dorothy decides to deposit $70.00 a month in the bank until she has saved enough money to pay cash for the dishwasher. One year later, she has saved $882.00—$840.00 in deposits plus interest. When she goes back to the store, she finds the dishwasher now costs $886.20. Its price has gone up 5.50 percent. Was postponing her purchase a good trade-off for Dorothy?Three years ago, Barbara Jones started a business that creates and delivers holiday and birthday gift baskets to students at the local university. Barbara sells the baskets for $ 29 each, and her variable costs are $ 19 per basket. She incurs $ 12,500 in fixed costs each year. Last year, Barbara sold 4,000 baskets, and she believes that demand this year will be stable at 4,000 baskets. The following are the actions Barbara could take if she wants to earn $ 30,900 in operating income by selling only 4,000 baskets. Consider each action independently. (Round per unit answers to 2 decimal places, e.g. 52.75 and fixed cost to 0 decimal places, e.g. 5,275.) Raise selling price per unit to? Reduce variable costs per unit to? Reduce fixed costs to?Consider a two-tier supply chain with one manufacturer and one retailer whointeract in a single selling season. The manufacturer sells a product to the retailer, who in turn sells in the market. Demand E is uncertain with cumulative distribution function F (·)and probability density function f (·). Since the production lead time is much longer thanthe selling season, the retailer must place a single order before demand is realized and cannotreplenish her inventory during the season. The retailer sells the product at an exogenousand fixed retail price r. The manufacturer produces the product at a unit cost of c. Themanufacturer uses a linear sales rebate contract and determines the following contract terms:For each unit ordered, he charges the retailer a wholesale price w, and for each unit sold, hepays the retailer a rebate s. Assume that the product has zero salvage value at the end ofthe season, and the inventory holding cost during the season is…