(a) Develop an LP model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today. (Let W= the number of servings of Wimpy to make and let D = the number of servings of Dial 911 to make.) Max s.t. Beef Onions Special Sauce Hot Sauce W, D 20 (b) Find an optimal solution. (Round your answers to two decimal places.) (W, D)=( Profit S (c) What is the dual value for special sauce? (Round your answer to two decimal places.) S Interpret the dual value. For every 1 ounce increase in-Select- , the profit will -Select- by s (d) Increase the amount of special sauce available by 1 ounce and re-solve. (Round your answers to two decimal places.) (W, D) = Profit= $ Does the solution confirm the answer to part (c)? O Yes O No
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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.General Motors is trying to determine how frequently they should have tires delivered to their Flint, Michign truck assembly plant. The tires are large and expensive to hold in inventory, and there is also a sgiicant fee each te a tire delivery is made. Which of the following tools would be most useful in making this decision O A/F Ratio Method Newsvendor Model Base Stock Model Economic Order Quantity Model Minimum Cycle Length ModelDairy company SG is producing milk at a fixed rate of 5,000 gallons/hour. The total customer order over a day is 100,000 gallons of milk. This demand is distributed evenly from 8:00 am to 6:00 pm. If there is no milk available, customers will wait until enough is produced to satisfy your orders. The company starts to produce at 8 am with 25,000 gallons in finished goods inventory. In the end, after that all the demand has been met, the plant continues producing until the stock of products finished is restored to 25,000 gallons. When answering the following questions, please address the trucks / milk as a continuous flow process. Start by drawing a graphic indicating how much milk is in stock and how much milk is “on hold” throughout the day. a) At what time of day will customers have to wait for their orders to be filled? b) At what time will customers stop waiting? c) Suppose the milk is collected in trucks with a capacity of 1,250 gallons each. What is the maximum number of trucks…
- Princetown paints ltd manufactures three basic types of paint. emulsion, gloss, and undercoat. using the same mixing machines and direct labour for each of the three products. the Management accountant of Princetown paints was faced with the task of arranging the weekly production for his company. information about the sale price and costs per 100 liters is given in the following table ( all figures in $). sales price per 100 liters ( emulsion 120), ( gloss 126), ( undercoat 110). variable cost per 100 liters ( emulsion 120), ( gloss 126), ( undercoat 110). direct material costs ( emulsion 11), ( gloss 25), ( undercoat 20). direct labour costs ( emulsion 30), ( gloss 36), ( undercoat 24). mixing costs ( emulsion 32), ( gloss 20), ( undercoat 36). other variable costs ( emulsion 12), ( gloss 15), ( undercoat 10). the cost of direct labour is $3 per hour and the variable cost of mixing is $4 per hour. in any one week, direct labour hours are restricted to 8000 hours and mixing machine…An automotive warehouse stocks a variety of parts that are sold at neighborhoodstores. One particular part, a popular brand of oil filter, is purchased by thewarehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based on warehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based ona 28 percent annual interest rate.The monthly demand for the filter follows a normal distribution with mean280 and standard deviation 77. Order lead time is assumed to be five months.Assume that if a filter is demanded when the warehouse is out of stock, then thedemand is back-ordered, and the cost assessed for each back-ordered demand is$12.80. Determine the following quantities:a. The optimal values of the order quantity and the reorder level.b. The average annual cost of holding, setup, and stock-out associated…The Delta company uses three raw materials to make cakes. Delta is trying to reduce warehousing costs and establishes three policies to that end: i) The annual number of orders for all products must be at least 20 per contractual terms with transportation providers. ii) The average inventory in units must be a maximum of 1800. iii) Because the raw material is perishable, there can never be more than 2000 units in inventory of raw material 1. Raw material 2 has a maximum allowed of 1200 units and the raw material 3 can store maximum 400 units. The following table shows the product information: Materia Demanda Costos por unidad Costo por prima (u/año) ordenar ($) 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…
- A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order? 4 days 36 days 40 days None of the above. Demand is random, so the time until they reach the ROP again is also randomPlease do not give solution in image formate thanku. Consider a firm that operates a cannery. All fish brought in by a fleet of fishing boats are processed at the cannery. The firm also has a freezer of unlimited size that stores unprocessed fish. Assume that the freezer is empty in the beginning of the year. There are three seasons. The fleet yields 8400 tons/month during the first third of the year, 11200 tons/month during the middle third, and only 1400 tons/month during the final third. The cannery's processing capacity equals 7000 tons/month. a- What is the inventory level at the end of January? Please give your answer in tons. b - What is the inventory level at the end of February? Please give your answer in tons. c - What is the inventory level at the end of May? Please give your answer in tons. d - What is the average monthly inventory (in tons)? Please keep 4 decimals. e - Calculate the average system throughput rate. Please give your answer in tons/month. f - Determine the…The seasonal yield of olives in a Piraeus, Greece, vineyard is greatly influenced by a process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller size olive. It also, though, permits olive trees to be spaced closer together. The yield of 1 barrel of olives by pruning requires 5 hours of labor and 1 acre of land. The production of a barrel of olives by the normal process requires only 2 labor hours but takes 2 acres of land. An olive grower has 250 hours of labor available and a total of 150 acres for growing. Because of the olive size difference, a barrel of olives produced on pruned trees sells for $20, whereas a barrel of regular olives has a market price of $30. The grower has determined that because of uncertain demand, no more than 40 barrels of pruned olives should be produced. Use graphical LP to find (a) the…
- This type of problem can be recognized when an order interval is given (e.g.,inventory is ordered every 10 days) along with the demand rate, lead time, and quantity on hand atorder time. A lab orders a number of chemicals from the same supplier every 30 days. Lead time is five days.The assistant manager of the lab must determine how much of one of these chemicals to order. Acheck of stock revealed that eleven 25-milliliter (ml) jars are on hand. Daily usage of the chemical isapproximately normal with a mean of 15.2 ml per day and a standard deviation of 1.6 ml per day. Thedesired service level for this chemical is 95 percent.a. How many jars of the chemical should be ordered?b. What is the average amount of safety stock of the chemical?A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order?Just need help finding the sausage constraint quantity value