ework problem 8 in section 1 of Chapter 7 of your textbook, about the office furniture manufacturer, using the following data. Assume that each filing abinets requires 55 pounds of steel and 3.5 hours of labor, and that each desk requires 70 pounds of steel and 2.5 hours of labor. Assume also that the anufacturer has available 144 tons of steel and 1400 hours of labor. Assume also that the profit on each desk is $40.00 and the profit on each filing cabir $33.00. How many filing cabinets and desks should the manufacturer produce in order maximize its profit? /hen you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how any objective functions should you have? umber of variables: 2 umber of constraints: 4 umber of objective functions: 1 Part 2 Part 3 ormulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= herever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y (in dollars) ubject to the constraints ceel used (in pounds): x + bor used (in hours): x +
ework problem 8 in section 1 of Chapter 7 of your textbook, about the office furniture manufacturer, using the following data. Assume that each filing abinets requires 55 pounds of steel and 3.5 hours of labor, and that each desk requires 70 pounds of steel and 2.5 hours of labor. Assume also that the anufacturer has available 144 tons of steel and 1400 hours of labor. Assume also that the profit on each desk is $40.00 and the profit on each filing cabir $33.00. How many filing cabinets and desks should the manufacturer produce in order maximize its profit? /hen you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how any objective functions should you have? umber of variables: 2 umber of constraints: 4 umber of objective functions: 1 Part 2 Part 3 ormulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= herever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.) x+ y (in dollars) ubject to the constraints ceel used (in pounds): x + bor used (in hours): x +
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Unitary Method
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Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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Transcribed Image Text:• Part 1
Rework problem 8 in section 1 of Chapter 7 of your textbook, about the office furniture manufacturer, using the following data. Assume that each filing
cabinets requires 55 pounds of steel and 3.5 hours of labor, and that each desk requires 70 pounds of steel and 2.5 hours of labor. Assume also that the
manufacturer has available 144 tons of steel and 1400 hours of labor. Assume also that the profit on each desk is $40.00 and the profit on each filing cabinet
is $33.00. How many filing cabinets and desks should the manufacturer produce in order maximize its profit?
When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how
many objective functions should you have?
Number of variables: 2
Number of constraints: 4
Number of objective functions:
1
• Part 2
• Part 3
Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <=
wherever you want a "less than or equal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., 2.)
x+
y (in dollars)
subject to the constraints
steel used (in pounds):
x +
labor used (in hours):
x +
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