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- A mixture of pellets is to be made containing x regular pellets, y large pellets and z extra large pellets. Cost, weight and volume data for each type of pellet are shown in the table. Is it possible to make mixture of 55 pellets at a cost of $0.85 if the mixture is to have 120 weight units and 130 volume units? If so, how many each type of pellet should be in the mixture? Pellet Type 5. Number of Cost per Pellet in Cents Weight Units per Pellet Volume Pellets Units per Pellet Regular Large Extra large 2 1 4 y 1 4 3VGHC, humanitarian aid service in the Sub-Saharan Africa, operates its laboratory on-site. The lab maintains an inventory of test kits for a variety of procedures. VGHC uses 780 A1C kits each year. Ordering costs are $15 and holding costs are $3 per kit per year. The new price list indicates that orders of fewer than 73 kits will cost $60 per kit, 73 through 144 kits will cost $56 per kit, and orders of more than 144 kits will cost $53 per kit. Determine the optimal order quantity and the total cost.A firm produces three products. Product A sells for $60; its variable costs are $20. Product B sells for $200; its variable costs are $120. Product C sells for $25; its variable costs are $10. Last year, the firm sold 1000 units of A 2000 units of B, and 10,000 units of C The firm has fixed costs of $320,000 per year. Calculate the break-even point of the firm.
- A recipe calls for 24 oz. of fresh blueberries, which are purchased in 1-pint containers. If a cup of blueberries weighs 7 oz, how many pints should you buy?Product D is stocked only at the AMC Chemical Company's Dallas warehouse and at the company's plant warehouse in Akron. The sales director has forecast product sales from the Dallas warehouse to be 40 units per week for the next 8 weeks. Product D is manufactured at the firm's Akron plant using 2 units of ingredient X per unit of product D. Suppose product D's actual sales at the Dallas warehouse in week 2 were 31 units. Again, all planned shipments/orders were released and expedite actions taken. What action would the master scheduler take on the basis of this information? In this situation, what modifications to the master production schedule might be taken? (4 points) Information: Ingredient X Projected available balance: 4 Units Safety stock quantity: 2 units Product D in Dallas Warehouse Product D in Plant Projected available balance: 85 Units Safety stock quantity: 5 units Lead time: 2 weeks Warehouse Projected available balance: 42 Units Safety stock quantity: 2 units Lead time:…A manufacturer that produces 100 different products is considering building a new warehouse because there is no room in raw material and product warehouses. Because although some products are more than in the warehouse, some demands that come due to the fact that the ban products are not enough in the warehouse are avoided. For this reason, it plans not to miss any demand by producing and storing enough of all its products, and of course it is considering building a new and larger warehouse to store more products. What can you suggest to this company, taking into account what is described in the course, describe your proposal in maximum detail with the concepts described in the course, as applicable activities.
- 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 $4 per hour. in any one week, direct labour hours are restricted to 8000 hours and mixing machine…The Delta company uses three raw materials to make cakes. Delta is trying to reduce warehousing costs and establishes three policies to that end: i) The annual number of orders for all products must be at least 20 per contractual terms with transportation providers. ii) The average inventory in units must be a maximum of 1800. iii) Because the raw material is perishable, there can never be more than 2000 units in inventory of raw material 1. Raw material 2 has a maximum allowed of 1200 units and the raw material 3 can store maximum 400 units. The following table shows the product information: Materia Demanda Costos por unidad Costo por prima (u/año) ordenar ($) 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…Efua Babyson (not a real name) completed Fashion Design Programme at a Technical University in Takoradi. Efua decided to join a dress-making group to gain experience for her career. In the course of her internship, Efua has observed that there are always a lot of beautiful pieces of leftover clothes that go waste thereby requiring the shop to spend money to dispose them. She is then thinking of designing fashioned carrier bags with the leftover clothes. Efua needs ideas on what factors to consider in decide to go or not go for the development of the conceived business idea. (a) Discuss four key things to consider in deciding to pursue or not the conceived business idea?
- 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.is approximately normal, with a mean of 200 liters per week and a standard deviation of 10liters per week. Cs = 60 cents per liter, and Ce = 20 cents per liter. Find the optimal stockinglevel for the apple-cherry blend.d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.