What is the solution and working to the following problems 5. The revenue generated by sales in the Vancouver and Quebec branches ofthe A-Plus auto parts store (see Example 2) was as follows: If the Canadiandollar was worth $0.65 U.S. at theVancouver QuebecWiper Blades105.00Cleanning Fluid36.00Floor Mats48.00Table 1: January Sales in Canadian Dollarstime, compute the revenue in U.S. dollars.140.0030.0096.00

Add all the amounts to get the revenue in Canadian dollars

Answered: 5. The revenue generated by sales in…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Identify an LP problem and construct a model that describes it. Make sure to include the following: 1. Quick discussion on what motivates you to choose that problem; 2. Define the problem; 3. Define the variables;
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Yet another (fictional) student submitted the following solution to an optimization problem. This time the solution is technically correct, but it is still insufficient there isn't nearly enough detail/explanation to receive full credit. Rewrite the solution below, adding all details (including a diagram) that are necessary to produce a complete solution worthy of full marks. (To be clear: the final answer is correct. What we want to see are the necessary explanations to make it clear where each step is coming from.) Problem: Find the dimensions of the rectangle of maximum area that can be drawn within a semicircle of radius 3, if one side of the rectangle lies along the diameter of the semicircle. (Suggestion: draw your semicircle on the ry-plane as the top half of the circle ? + y? = 9.) Solution: A = 2ry = 2r9-a A' = 2/9-2 272 2(9 - 22?) V9-2 2x = 9 so r Dimensions: 2x = 3/2 and y =
Problem Il: A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity is limited to 100 totals. Each model takes the same about of production time. A supplier problem results in only 1,000 gallons being available next month. Each Model A requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10 Ballons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's for each Model B produced. The firm wants to select that product mix so as to maximize profit contribution. Here are the numbers that go into profit contribution: Product profit per unit A 1600 $ 1500 $ B 1200 S Formulate this as a linear programming problem.
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Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole number solutions: A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?
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Let's create a mathematical model for the following problem: A chemical company produces a chemical mixture for a customer in 1,000-pound batches. The mixture contains three components: mercury, zinc, and potassium. The mixture must meet specific formula specifications provided by the customer. The company wants to determine the amount of mixture that can meet all requirements and minimize the total cost. The customer provides formula specifications for each batch of the mixture as follows: The mixture must contain at least 200 pounds of mercury. The mixture must contain at least 300 pounds of zinc. The mixture must contain at least 100 pounds of potassium. The cost per pound for mercury is $4, for zinc is $8, and for potassium is $9.
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Question 3Bob is a young entrepreneur who recently graduated from UPSA and using three different ingredient (flour, sugar and butter) to produce three different kinds cakes namely Boban, Boapp and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of Boban requires 5g each of flour, sugar and butter. Also, producing Boapp requires 15g each of butter and sugar together with 20g of flour while producing Bopine requires 15g each of sugar and flour, and 20g of butter. In any particular day, the company has a total of 17500g, 16000g and 18500g of butter, sugar and flour available respectively.(a) Write three linear equations and hence form a matrix to represent the above problem (b) Determine the number dozens of cakes of each brand of cakes that should be produced from the available raw materials using matrix inversion

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