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.

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?

The workers of the company "Malova" work in a 5-day work week and worked them for 22 days in the month of November 2020. The standard work schedule is 8 hours per day with a 30-minute break included in this time. Now, "Malova's" company is in the process of manufacturing screwdrivers and manufactured 3100 pieces of screwdrivers. In addition, the company manufactures screwdrivers in batches of 300 and after each batch makes a pause to check the quality of production and make certain adjustments to the machines if necessary. The break is 1 hour. Calculate the parts produced per hour by the Malova company in November.   Important: Use the formula (the one I put in the image)

a plant has a 200 horsepower that works cpnsstatnly for 3000 hours per year. it is using a drive motor with an efficiency of 84.3%.  The motor has reached its life span, and needs to be changed.  A new one will cost $1,100.  A motor with an efficiency of 86.3% will cost $13,000 and the installation of the motor will be $1,200. Both motors will last for 20 years but then would need a new one Find the annual savings when it comes to replacing the old compressor with the more efficient compressor.