4) A diet is to contain at least 8 units of vitamins, 9 units of minerals, and 10 calories. Three foods, Food A, Food B, and Food Care to be purchased. Each unit of Food A provides 1 unit of vitamins, 1 unit of minerals, and 2 calories. Each unit of Food Bprovides 2 units of vitamins, 1 unit of minerals, and 1 calorie. Each unit of Food C provides 2 units of vitamins, 1 unit of minerals,and 2 calories. If Food A costs $3 per unit, Food B costs $2 per unit and Food C costs $3 per unit, how many units of each foodshould be purchased to keep costs at a minimum?

Linear programming is a mathematical technique that is also used in operations management…

Answered: is to all at least 8 units of vitamins,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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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.
4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?
Bimala is interested in buying a new house and has found a house she likes in Surry Hills. Bimala comes to you for advice about which of the following items would pass to her automatically if she buys the house: • A plastic bird bath which rest on the ground in the back garden; • A concrete swimming pool in the back garden; • A tapestry attached by small tapestry nails to the wall of the living room; and • A barbecue on wheels on the back deck. Advise Bimala. In your advice, please ensure that you refer to relevant case law. *NOTE: This is business law question. can you write more details about the question and answer.
2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…
Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.
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 3
A D E F G H J K 1 Hair Dryers A company makes two models of hair dryers, model A and model B. Each dryer must be assembled and packed. Model A requires 10 minutes to be assembled and model B requires 20 minutes. It takes 4 minutes to package model A and 2 minutes to package model B. 3 4 5 6 The company finds that there are no more than 4 hours per day for assembly and 1 hour for packing. If the company makes a $2 profit on each model A sold and a $3 profit on each model B, how many of each model should be made 7 8 per day to maximize the profit? What is the maximum profit per day the company can make? 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
(a) Determine the amount of potatoes and green beans Maria should purchase each week for the casserole to minimize the ingredient costs while meeting nutritional, taste, and demand requirements. Before she makes her final decision, Maria plans to explore the following questions independently except where otherwise indicated. (b) Maria is not very concerned about the taste of the casserole; she is only concerned about meeting nutritional requirements and cutting costs. She therefore forces Edson to change the recipe to allow for only at least a one to two ratio in the weight of potatoes to green beans. Given the new recipe, determine the amount of potatoes and green beans Maria should purchase each week. (c) Maria decides to lower the iron requirement to 65 mg since she determines that the other ingredients, such as the onions and cream of mushroom soup, also provide iron. Determine the amount of potatoes and green beans Maria should purchase each week given this new iron…
Give the logical sequence of steps for formulating and constructing a (structured) LP model.
NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.
Workshape Manufacturing has two classes of distributors: JIT distributors and non-JIT distributors. The JIT distributor places small, frequent orders, and the non-JIT distributor tends to place larger, less frequent orders. Both types of distributors purchase the same product. The customer activities and costs for the previous quarter are as follows: Activity JIT distributors Non-JIT distributors Sales Orders 500 30 Sales Calls 30 30 Service Calls 200 90 Average Order Size 90 1,400 Manufacturing Cost/Unit $50 $50 Customer Costs: Processing Sales Orders $160,000 Selling Goods $155,000 Servicing Goods $195,000 Total $500,000 Calculate the activity rate for selling goods. (Note: Round answer to two decimal places.) a.$2,200.50 per sales call b.$9,400.60 per sales call c.$3,550.66 per sales call d.$2,583.33 per sales call e.$4,800.40 per sales call
At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…

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