A product is made by only two competing companies. Suppose Company X retains two-thirds of its customers and loses one-third to Company Y each year, and Company Y retains three-quarters of its customers and losesone-quarter to Company X each year. We can represent the number of customers each company had last year byDwhere xo is the number Company X had and yo is the number Company Y had. Then the number that each will have this year can be represented by3If Company X has 2900 customers and Company Y has 2500 customers this year, how many customers did each have last year?Company XCompany YNeed Help?Read Itcustomerscustomers

We have to find the value of x0

Answered: A product is made by only two competing…

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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) 3 2010 06 36% Progress Camila and Evelyn work at a dry cleaners ironing shirts. Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per hour. How many total shirts would be ironed between the two workers if Camila worked 6 hours and Evelyn worked 9 hours on a given day? How many total shirts would be ironed between the two workers if Camila worked a hours and Evelyn worked y hours on a given day? Camila works 6 hours and Evelyn works 9 hours: I ACaila works a hours and Evelyn works y hours: Submit Answer attempt i out of 2 Privacy Policy Terms of Service Copyright 2021 DeltaMath.com. All Rights Reserved DELL 女 23 2$ & 2 4. 5 6 7 8. b. W e y i a S f k
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
11. There are 286.9 million drivers in the U.S. who drive a cumulative 3.2 trillion miles every year. There are 1.5 million car-wildlife collisions in the U.S. every year. If every driver in the United States bike to work one day a week, reducing their annual drivingmiles by 300, how many fewer wildlife collisions would there be?
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
Assume that the Natural Fertilizer Company produces 100 pound sacks of 20-10-15 fertilizer for lawns, 100 pound sacks of 11- 15-13 fertilizer for gardens, and 100 pound sacks of 4-8-5 fertilizer for trees, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 10 tons of nitrate, 9 tons of phosphate, and 7 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $14.00, the profit on each sack of garden fertilizer is $7.00, and the profit on each sack of tree fertilizer is $8.00. Finally, assume the company has a contract to supply at least 1.5 tons of garden fertilizer. How many sacks of each type of fertilizer should the company make in order maximize its profit?
Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost.

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