Problem 2. A shop assistant of a flower shop has 2 hours before openingthe shop. During this time he makes wreaths and bouquets. The flower shophas 4 metal frame and 18 roses. Everything else is unlimited. The followingtable (the technological matrix) shows how much each product needs fromeach resource:metal frame.rosetime (min)wreath bouquet10315215stocks418120The profit of a wreath is 400, the profit of a bouquet is 300. How much toprepare the shop assistant from these products to maximize profit?Formulate the optimization model of the problem. Solve the problem gra-phically.

For this Q, I would formulate the LP optimization model, then, I would solve this problem…

Answered: The profit of a wreath is 400, the…

Practical Management Science

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Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Consider the following short case as you respond to the question:Abruzzi's Italian Kitchen is a small family restaurant with an administrative staff of four people. Giuseppi Abruzzi is the chief executive officer; his wife Maria is the chief financial officer. Their son Antonio is responsible for all transactions dealing with kitchen supplies, including the raw materials for menu items; their son Carlo is responsible for all transactions dealing with dining room supplies, such as eating utensils. The restaurant's administrative practices have developed over the ten years of its existence with minimal reliance on information technology and formal procedures and a stronger emphasis on interpersonal relationships with a few reliable vendors. Once a month, Antonio places orders for kitchen supplies with one of four vendors based on price; the supplies are usually received within ten calendar days. On receipt of the supplies, Antonio pays the vendor with a company check. Carlo follows a…
The manager of a small firm is considering whether to produce a new product that would require leasing some special equipment at a cost of$20,000 per month. In addition to this leasing cost, a production cost of$10 would be incurred for the first 1000 units (including the 1000th unit). After that, a production cost of$15 would be incurred for the rest. Each unit sold generates$20 in revenue. Determine how many units should be produced each month to make it profitable to produce this product.
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Demand is forecasted using the following regression equation: D = 100 + 15(t) where “t” is a specified future time period. The current time period is 0 (t=0). The machines used to make this product have a capacity of 50 units/time period. The company currently has 4 machines yielding a total capacity of 200 units/time period. Due to technology changes, the current equipment will become obsolete at the end of period 15. If a new machine costs $2000, and the net revenue earned per unit is $10, how many machines should be added between today (t=0) and the end of period 15?
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PLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?
Two firms, A and B, each currently dump 168 tons of chemicals into the local river. The government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. The government gives each firm 90 pollution permits. The abatement costs of one ton of pulltion is $122 for Firm A and $147 for Firm B. What would be the total cost of reducing pollution, if the government does NOT allow the firm to trade the permits between each other?
1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.

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The profit of a wreath is 400, the profit of a bouquet is 300. How much to prepare the shop assistant from these products to maximize profit? Formulate the optimization model of the problem. Solve the problem gra- phically.