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 +

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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• 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 +
నా
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 + నా
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