A poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities. A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (490 milligrams) and iron (420 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 175 milligrams of vitamin K and 80 milligrams of iron. A unit of alfalfa contains 210 milligrams of vitamin K and 80 milligrams of iron. What is the constrain for vitamin K? Please help asap.
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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.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.A company manufactures hair dryers. It buys some of the components, but it makes the heating elements, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 days a year, at a rate of 300 per day. Because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,000 units. Approximately how many batches of heating elements are produced annually? If production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand two days later? The same equipment that is used to make the heating elements could also be used to make a component for another of the firm’s products. That job would require four days, including setup. Setup time for making a batch of heating elements is a half day. Is there enough time to do this job between productions of batches of heating elements? Explain.
- An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. If more than 40 show up for the flight , then the extra passengers will be compensated PhP10,000 for rebooking and other expenses. 5. If Profit = Ticket sales-Compensation of Bumped passenger(s). What is the profit if 42 customers show up?The Delta company uses three raw materials to make cakes. Delta is trying to reduce warehousing costs and establishes three policies to that end: i) The annual number of orders for all products must be at least 20 per contractual terms with transportation providers. ii) The average inventory in units must be a maximum of 1800. iii) Because the raw material is perishable, there can never be more than 2000 units in inventory of raw material 1. Raw material 2 has a maximum allowed of 1200 units and the raw material 3 can store maximum 400 units. The following table shows the product information: Materia Demanda Costos por unidad Costo por prima (u/año) ordenar ($) 2200 2 300 2 500 4 650 3 3000 10 100 Consider an interest rate of 10% per year. A) Formulate the problem as a mathematical programming model that minimizes the total annual cost. b) Represent the problem in a single equation including the constraints in terms of lambda c) Find the optimized batch sizes for the company's raw…Think of an enterprise that produces “C” kind fire extinguishers. They manufacture 30,000extinguishers per year. Each extinguisher requires a handle. Suppose that the storage cost is1.5 dollars per handle, the production preparation cost is 150 dollars and the daily productionratio is 300. A labour year is 300 days. Which will the optimal amount of production be?
- Mamma Temte bakes six pies a day that cost $2 each to produce. On 31% of the days she sells only two pies. On 39% of the days, she sells 4 pies, and on the remaining 30% of the days, she sells all six pies. If Mama Temte sells her pies for $5 each, what is her expected profit for a dayʹs worth of pies? [Assume that any leftover pies are given away.]Monsanto sells genetically modified seed to farmers. It needs to decide how much seed to put into a warehouse to serve demand for the next growing season. It will make one quantity decision. It costs Montanso $6 to make each kilogram (kg) of seed. It sells each kg for $45. If it has more seed than demanded by the local farmers, the remaining seed is sent overseas. Unfortunately, it only earns $2 per kg from the overseas market (but this is better than destroying the seed because it cannot be stored until next year). If demand exceeds its quantity, then the sales are lost—the farmers go to another supplier. As a forecast for demand, it will use a normal distribution with a mean of 325,000 and a standard deviation of 150,000. Use Table 13.4 a. How many kilograms should Montanso place in the warehouse before the growing season? Use Table 13.4 and round-up rule. b. If Montanso put 400000 kgs in the warehouse, what is its expected revenue (include both domestic revenue and…A buyer purchases 75 yd of material for $135. Then an additional 80 yd are ordered at the same unit cost. What is the additional cost (in dollars)?
- A plastic canister manufacturing company maintains an annual safety stock of 500 units of plastic caps. If the company places an annual purchase order for 1,800 units of these caps, its average annual inventory, in units, is between: ( )1,500 and 1,300 ( )3,200 and 3,000 ( )2,400 and 2,200 ( )1,200 and 1,000 ( )1,900 and 1,700A wallpaper company estimates the demand for a certain pattern to be 925 rolls per year. It costs $750 to set up the presses to print the pattern, plus $150 to print each roll. If the company can store a roll of wallpaper for a year at a cost of $4, how many rolls should it print at a time and how many printing runs on average will it need in a year to minimize production costs? (Assume the wallpaper sells steadily throughout the year, and the company reorders more whenever the stock runs out. Round the number of rolls per print to the nearest whole number and the average number of printing runs per year to two decimal places.) rolls per print rolls print runs per year runs9. A company uses 8000 wheels per year in its manufacture of golf carts. The wheel cost $15 each and is purchased from an outside supplier. The money invested in the inventory cost 10% per year and the warehousing cost amounts to an additional 2% per year. It cost $150 to process each purchase order. Find the quantity of wheels that should be ordered each time an order is placed.