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.

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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

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, ?
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?
A company uses 3 machines X,Y and Z for their production. The company repairs each machine every time in breaks down and keeps a record of the number of breakdowns and the cost of each repair. The records for 2016 and 2021 are shown below. 2016 2021 Machine Cost of each repair (Rands) 1000 Cost of each Number of Number of repair (Rands) 800 breakdowns breakdowns 10 14 Y 400 13 800 20 2000 6. 2400 8 The cost of repair of each machine is fixed throughout the year, time machine X broke down, it cost R800 to fix it. for example in 2016, every Adapt the formula for the Laspeyres Price Index to calculate the Laspeyres "Cost of repair" Index for 2021 using 2016 as the base year. A. 137.5 В. 138.1 C. 139.8 D. 140.0
A company manufactures three types of leather belts, namely A B and C. The unit profits from these three varieties are 10, 5 and 7 respectivel Leather is sufficient for only S00 belts per day (all types together) Belt A requires thrice the time of belt B and belt C requires twice the time of B. If all the belts of type B are produced, a maximum of 1,000 belts per day can be produced. Belt A requires a fancy buckle and 150 such buckles per day are availlable. There are sufficient number of buckles for the other varieties. Determine using simplex method, how many belts of each type be produced to maximize the total profit.
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 63 labor-hours available for assembly and 33 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output?
The 1-Dream company makes two different BLU-ray players, which are assembled on two different assembly lines. Line 1 can assemble 40 units of the BLU-Ray player and 55 units of the BLU-Ray player with DVR per hour, and line 2 can assemble 110 units of the BLU-Ray player and 195 units of the BLU-Ray player with DVR per hour. The company needs to produce at least 3,989 BLU-Ray players and 6,755 BLU-Ray player with DVR to fill an existing order. It cost $100 per hour to run line 1 and $310 per hour to run line 2, how many hours should each line run to fill the order at minimum cost? (Use x for line 1 hours and y for line 2 hours.) Minimize C= ≥ 3,989 6, 755 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 hours to 1 decimal place and cost to 2 decimal places. Number of hours to run line 1 is Minimum cost is $ Number of hours to run line 2…
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.
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 48 labor-hours available for assembly and 36 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output?
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)
A company has three machines B1, B2 and B3 for making 1kN resistors. It has been observed that 80% of resistors produced by B, are within 500 of the nominal value. Machine B2 produces 90% of resistors within 500 of the nominal value. The percentage of machine B3 is 60%. Each hour, machine B1 produces 3000 resistors, B2 produces 4000 resistors and B3 produces 3000 resistors. All of the resistors are mixed together at random in one bin and packed for shipment. What is the probability that the company ships a resistor that is within 502 value? of the nominal
XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?
Astra company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? Solve this problem using graphical method and please explain the steps on how you solve it. Thank you :))