1) You operate a small wooden toy company making two products: alphabet blocks and woodentrucks. Your profit is $30 per box of blocks and $40 per box of trucks. Producing a box of blocksrequires one hour of woodworking and two hours of painting; producing a box of trucks takesthree hours of woodworking but only one hour of painting. You employ three wood workers andtwo painters, each working 40 hours per week. How many boxes of blocks (X1) and trucks (X2)should you make each week to maximize profit? Solve graphically as a linear program.

Woodworking Painting Profit Alphabet blocks (X1) 1 2 30 Wooden Trucks (X2) 3 1 40…

Answered: You operate a small wooden toy company…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
You operate a small wooden toy company making two products: alphabet blocks and wooden trucks. Your profit is $30 per box of blocks and $40 per box of trucks. Producing a box of blocks requires one hour of woodworking and two hours of painting; producing a box of trucks takes three hours of woodworking, but only one hour of painting. You employ three woodworkers and two pointers, each working 40 hours a week. How many boxes of block (B) and trucks (T) should you make each week to maximize profit? Solve graphically as a linear program and confirm analytically.
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You are thinking of opening a small copy shop. It costs $5000 to rent a copier for a year, and it costs $0.03 per copy to operate the copier. Other fixed costs of running the store will amount to $400 per month. You plan to charge an average of $0.10 per copy, and the store will be open 365 days per year. Each copier can make up to 100,000 copies per year. a. For one to five copiers rented and daily demands of 500, 1000, 1500, and 2000 copies per day, find annual profit. That is, find annual profit for each of these combinations of copiers rented and daily demand. b. If you rent three copiers, what daily demand for copies will allow you to break even? c. Graph profit as a function of the number of copiers for a daily demand of 500 copies; for a daily demand of 2000 copies. Interpret your graphs.
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