A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1.20, and eachType B souvenir will result in a profit of $1.60. To manufacture a Type A souvenir requires 2 minutes on Machine 1 and 1 minute on MachineII. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hoursavailable on Machine II.andmin. (Enter your(a) For a meaningful solution, the time available on Machine II must lie between [answers from smallest to largest.)(b) If the time available on Machine II is changed from 300 min to (300+ k) min, with no change in the maximum capacity forMachine 1, then Ace Novelty's profit is maximized by producingType A souvenirs andType Bsouvenirs, wheresks(c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)

Answered: Image /qna-images/answer/00b51130-136a-496c-a768-3919621f4fc0.jpg

Answered: A company wishes to produce two types…

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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A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ and $ . (Enter your answers from smallest to largest.)(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $196.80.$ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)?$
The following table shows the expenses and income for a local college student. Assume that amounts shown for salaries and wages are after taxes and that 1 month = 4 weeks. Income Expenses Part-time Job: $1100/month Rent: $550/month Student Loans: $8400/year Groceries: $50/week Scholarship: $5700/year Tuition and Fees: $7500/year Health Insurance: $40/month Entertainment: $40/week Phone: $65/month a) What is the student's monthly income? b) What is the student's monthly expenses? c) What is the student's net monthly cash flow?
How many DVDs need to be sold for the company to make a profit if the fixed cost is $ 48,000, the variable cost is $ 12.4 per unit, and the market price is $ 17.4 per item?
Your company decides to conduct some production analysis for two of its most popular brands of cups. A carton of Brand X takes 10 hours to produce and 5 hour to package. A carton of Brand Y takes 15 hours to produce and 25 hours to package. If there are exactly 300 hours per month for production and exactly 325 hours per month for packaging, complete the following questions to determine how many cartons of each type of cup will be ready for shipping using all the available time. Create a system of equations for the situation using r for Brand X of cups and y for Brand Y of cups. Equation 1: Equation 2: Graph the system of equations on the grid provided: +30+ 28 26 24 22 20 18 10 14 12 10 2. 4 8 10 12 14 16 18 20 22 24 Clear All Draw:
A toy factory creates miniature steel train engines and box cars. The fabrication department has 5,279 minutes available per week and the assembly and finishing department has 5,999 minutes available per week. Manufacturing one miniature steel train engine requires 12 minutes of fabrication and 10 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and 10 minutes of assembling and finishing. The profit on each miniature steel train engine is $9.50 and the profit on each miniature steel box car is $8.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = ≤5, 279 5,999 subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to…
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $0.80, and each Type B souvenir will result in a profit of $1.00. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hours available on Machine II. (a) For a meaningful solution, the time available on Machine II must lie between and min. (Enter your answers from smallest to largest.)(b) If the time available on Machine II is changed from 300 min to (300 + k) min, with no change in the maximum capacity for Machine I, then Ace Novelty's profit is maximized by producing Type A souvenirs and Type B souvenirs, where ≤ k ≤ .(c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)$
A company makes pancake mix and cake mix. Each pound of pancake mix uses 0.6 lb of flour and 0.1 lb of shortening. Each pound of cake mix uses 0.4 lb of flour, 0.1 lb of shortening, and 0.4 lb of sugar. Suppliers can deliver at most 6,000 lb of flour, at least 500 lb of shortening, and at most 1,200 lb of sugar. If the profit per pound is $0.45 for pancake mix and $0.35 for cake mix, how many pounds of each mix should be made to earn maximum profit? pancake mix 2000 Xlb lb cake mix 3000 What is the maximum profit (in $)? $3450 X
A merchant has 9000 square feet of floor space for storing units of products I and II. To gain the advantage of a good price he must purchase his stock now. A unit of product I costs $6 and requires 2 square feet of space, while a unit of product II costs $3 and requires 3 square feet of space. The merchant must stock at least 500 units of product 1. He expects to make a profit of $1 from each unit of product I he stocks and $4 from each unit of product II. He is instructed to stock no more than 5000 total units of the products. The amount of product 1 that he stocks should be no more than half the amount of product 2 that he stocks. He has $18,000 available for purchasing stock, and wants to know how many units of each product to buy to maximize profit. Create the LP model for this problem.
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ THER and $ (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $208.80. $ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $3.00 (with the contribution to the profit of a Type A souvenir held at $1.00)? $
Sarah studies Business and Management and she also has a part-time job as a waitress at a restaurant. The restaurant does not include service charges in their bills, and therefore Sarah often receives tips from the customers. Some customers give her very generous tips, while others leave hardly anything or nothing at all. Sarah began to wonder what the size of the tip may depend on. Just out of curiosity, she started to keep a record of the total prices on the bills and the tips she received. At first, she fit a simple linear regression model to the data and found that the size of the tip was significantly related to the total price. But at this point, she speculated that the tips may be affected by other factors as well, and an even better model could possibly be constructed by including further independent variables. For instance, the chef who prepares the dish(es) might affect the customers' satisfaction. The restaurant employs three chefs: Richard, Thomas, and Linda. Sarah decides…
Find the Moments (Mx) for the lamina that occupies the region D and has the given "Density" function (p). D is bounded by (y = 3 + 2x) and (y² = x¹) The Density is (p(x, y) = kx²)
Sarah studies Business and Management and she also has a part-time job as a waitress at a restaurant. The restaurant does not include service charges in their bills, and therefore Sarah often receives tips from the customers. Some customers give her very generous tips, while others leave hardly anything or nothing at all. Sarah began to wonder what the size of the tip may depend on. Just out of curiosity, she started to keep a record of the total prices on the bills and the tips she received. At first, she fit a simple linear regression model to the data and found that the size of the tip was significantly related to the total price. But at this point, she speculated that the tips may be affected by other factors as well, and an even better model could possibly be constructed by including further independent variables. For instance, the chef who prepares the dish(es) might affect the customers' satisfaction. The restaurant employs three chefs: Richard, Thomas, and Linda. Sarah decides…

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