A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $3/unit of Product A and a profit of $4/unit ofProduct B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 min onMachine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be producedin each shift to maximize the company's profit?Product AunitsunitsProduct BWhat is the largest profit the company can realize?$Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.)Machine IminMachine IImin

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Answered: A company manufactures two products, A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5. A manufacturing company makes two models A and B of a product. Each piece of Model A requires 12 labor hours for fabricating and 1 labor hour for finishing. Each piece of Model B requires 6 labor hours for fabricating and 3 labor hours for finishing. For fabricating and finishing, the maximum labor hours available are 150 and 60 respectively. The company makes a profit of $10000 on each piece of model A and $9000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realize a maximum profit? What is the maximum profit per week?
A production line of a mechanical spare part includes three stages such as moulding, finishing and packing. As the production engineer, you are required to improve the efficiency of the process immediately to cater a relatively large order which needs to be served in a limited time. On the shutdown day you only have resources and time to do detailed maintenance in only one component. In order to do that you are required to identify the component(stage) which affect the most to the total time consumed. Following details were obtained in a cycle time analysis of most recent week. Using these details find the most significant component by performing a correlation analysis. Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average 31 35.5 31 40.5 34 39 37.5 time for Total process Average 15 20 17 25 18 24 20 time for Moulding Average 4.5 7 6. 7 5.5 time for finishing Average 10 11 9. 8.5 10 12 time for packing Factory manager claims that there is a positive relationship between moulding time and…
A company manufactures two products, A and 3, in 2 factories, I and II. It has been determined that the company will realize a profit of 75 dollars on each unit of product A and a profit of 70 dollars on each unit of product B. To manufacture a unit of product A requires 7 minutes in factory I and 8 minutes in factory II. To manufacture a unit of product B requires 9 minutes in factory I and 5 minutes in factory II. There are 675 minutes of machine time available in factory I and 560 minutes of machine time available in factory II per day. How many units of each product should be produced per day to maximize the company's profit? units per day of product A, and units per day of product B. The maximal achievable profit is dollars per day. Now assume that, due to changing market conditions, the company can now realize a profit of 116 dollars on each unit of product A, whereas the profit on product B remains the same as before. How many units of each product should now be produced per day…
A company has three machines B1, B2 and B3for making 1kN resistors. It has been observed that 70% of resistors produced by B1 are within 500 of the nominal value. Machine B2 produces 90% of resistors within 500 of the nominal value. The percentage of machine Bz is 50%. Each hour, machine B1 produces 4000 resistors, B2 produces 5000 resistors and B3 produces 6000 resistors. All the resistors are mixed together at random in one bin and packed for shipment. What is the probability that an acceptable resistor comes from machine B, ?
The company wants to find its daily production program maximizing its daily sales. These are made up of sales from individual types of fumiture. The company will receive CZK 500 for each chair produced, CZK 1,500 for a dining table and CZK 3,000 for each bed. Daily furniture production is stored in a warehouse with a size of 220 m2 The chairs occupy 0.5 m2, dining tables 2 m2 and beds 4 m2. The production of one chair takes 1 hour of work, the production of a dining table takes 2 hours and the bed takes 5 hours to produce due to its complexity. In total, there is a working hours capacity corresponding to the number of employees Long-term contracts with customers require that at least 10 beds be made per day. How much of chairs, dinning tables and beds have to be optimally produced daily ?
A company manufactures two, A and B, on two machines, 1 and 2. It has been determined that the company will realize a profit of $3/unit on Product A and a profit of $4/unit on product B. To manufacture 1 unit of Product A requires 6 min on Machine 1 and 5 min on Machine 2. To manufacture 1 unit product of Product B requires 9 min on Machine 1 and 4 min on Machine 2. There are 5 hr of machine time available on Machine 1 and 3 hr of machine time available on Machine 2 in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? What is the largest profit the company can realize? Is there any time left unused on machines?
Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.
Please provide me a step by step solution And which option is correct
Q1) A company manufactures two products (pl and p2) on three machines (ml, m2 and m3). Each of the products must be processed on all three machines. One unit of pl requires 5h (hours) of processing time on ml, 4h of processing time on m2 and 3h processing time on m3. Machining times required by a unit production of p2 are 2h, 3h and 4h respectively. The machine capacities are 270h, 250h, and 200h per pieces respectively. The unit profits for the products are $100 and $60 respectively. Additionally the manufacturer wants to produce at least five pl for each p2. Suppose that the produced each product is sold. Formulate a Linear Programming (LP) Model to determine the number of pl and p2 that maximize the overall profit. (Define the decision variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try to solve the problem.)
A small paint company specializes in two types of exterior paint: latex and enamel paint. It requires 10 labor-hours per 100 liters of latex paint and 15 labor-hours per 100 liters of enamel paint. It is assumed that the company works only 40 hours per week, does not hire additional labor, and does not engage in overtime work. From 1 liter of latex paint, a profit of 5 units is obtained, while from 1 liter of enamel paint, a profit of 10 units is obtained. The owner of the company prioritizes the objectives in the following order: Avoiding overtime work Maintaining a weekly profit of at least 1000 units Producing a minimum of 700 liters of enamel paint each week to meet the demand of an existing customer Formulate the goal programming model for the company.
please see the attached question. thanks for your help
A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 7 cost of $56,048 and a variable cost per unit of XL7510 equal to 214 + - dollars, where is the total number of XL7510s produced. 10 Suppose further that the selling price of this product is 1180 The -values of the break-even points are The maximum revenue is Form the profit function: P(x) = The maximum profit is The price that will maximize profit is 3 10 - dollars per unit of XL7510. dollars (round to the nearest cent) dollars (round to the nearest cent)

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