KInfotron 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 assemblyand 1 labor-hour of testing. Each day there are 65 labor-hours available for assembly and 39 labor-hours available for testing. How many of each game should Infotron produce each day tomaximize its total daily output?Infotron should producehockey games and soccer games.

Step 1:Consider that Infotron Inc. should produce xnumber of hockey and ynumber of soccer games to…

Answered: K Infotron Inc makes electronic hockey…

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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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 carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, four 2 ✕ 4's, and four sheets of plywood. The carpenter has 80 boxes of screws, 145 2 ✕ 4's, and 170 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 12 shelves and 29 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 12 shelves and 29 tables? The carpenter has boxes of screws, 2 ✕ 4's, and sheets of plywood leftover.
Monoblocs, Inc. manufactures set-it-up-yourself furniturefor students. He currently makes twoproducts,bookcases and tables. Each bookcase contributes P240to profits and each table, P200. Each product passesthrough two manufacturing departments, cutting andfinishing. Book- cases take 4 hours a unit in cutting and 4hours in finishing. Tables require 3 hours a unit in cuttingand 5 in finishing. There are currently 40 hours availablein cutting and 30 in finishing. Find the product mix thatwill produce that maximum profit.
A bakery gets milk from two dairies then blends the milk to get the desired amount of butterfat for use in the company's best selling product. Milk from dairy I costs $2.10 per gallon, and milk from dairy Il costs $0.70 per gallon. The company has at most $140 available for purchasing milk. Dairy I can supply at most 54 gallons of milk averaging 3.8% butterfat and dairy II can supply at most 88 gallons of milk averaging 3.2% butterfat. The blend can contain no more than 100 gallons of milk and should contain the maximum amount of butterfat. (a) Let x be the number of gallons of milk from dairy I and let y be the number of gallons of milk from dairy II. State the objective function. Maximize z= (b) Excluding nonnegativity constraints, how many constraints are needed for this model? (b) How much milk from each dairy should the bakery use? Round your answers to the nearest integer as needed. gallons from dairy I and gallons from dairy II. (c) What is the maximum amount of butterfat? Round…
The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance. How many hours each month are spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets?
Solve and show full solution. (Not excel) To inspect the quality of the screens for mobile phones produced by Company X, two separate inspection devices are used to test the screens for defects. Basically, a specific screen is tested once using the two inspection devices. Device 1 can detect the presence of defects 99.3% of the time, whereas Device 2 can detect defects 99.7% of the time. Assume that the 2 devices are operating independently from each other. One day, four defective screens were sent for inspection. Let X represent the number of screens that will be correctly tagged as defective by Device 1, while Y represents the number of screens that will be correctly tagged as defective by Device 2. Determine the following: a. fXY(x,y)b. fX (x)c. E(X)

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