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A manufacturer of wooden chairs and tables must decide in advance how many of ea

ID: 2893628 • Letter: A

Question

A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a given week. Use the table to find the system of inequalities that describes the manufacturer's weekly production. Use x for the number of chairs and y for the number of tables made per week. The number of work-hours available for construction and finishing is fixed. A) 2x + 3y lessthanorequalto 28 2x + 2y lessthanorequalto 36 x greaterthanorequalto 0 y greaterthanorequalto 0 B) 2x + 3y greaterthanorequalto 36 2x + 2y greaterthanorequalto 28 x greaterthanorequalto 0 y greaterthanorequalto 0 C) 2x + 3y greaterthanorequalto 28 2x + 2y greaterthanorequalto 36 x greaterthanorequalto 0 y greaterthanorequalto 0 D) 2x + 3y lessthanorequalto 36 2x + 2y lessthanorequalto 28 x greaterthanorequalto 0 y greaterthanorequalto 0 Use the indicated region of feasible solutions to find the maximum and minimum values of the given objective function.

Explanation / Answer

Option D

No.of chairs be x

No.of tables be y

Given hours per chair and table.

So. The weekly production. 2x+3y<=total hours available

2x+3y<=36

2x+2y<=28 here x,y>=0

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