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. 2) Use x for the number of chairs and y for the number of tables made per week. The number of 2) work-hours available for construction and finishing is fixed. N NI Hourg Hours Total per per hours chair table, available Construction 3 36 Finishing 2 28 A)2x + 3y s 36 B) 2x + 3y s 28 2x + 2y s 28 2x + 2y = 36 X20 X20 y 20 C) 2x + 3y - 28 2x + 2y = 36 X0 y20 D) 2x + 3y = 36 2x + 2y = 28 X20 y20 y20

Answer 1

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Solution Let, re nuomber of Chair and у numbe. of table an manufactused in а так Now consider the given table; Time for construction is fixed 36 hour Time too finishing is fixed , not more thon 28 hour If Chair and y dable constructed then time must be less than or Eqvai to 36 hour -) 2n + 34 = 36 IH Chair and Y table finished then time must be less than 07 Equal to 28 hour 2 x + 2 x 2 8 Number of Chair manufactured mus+ be positive it can't be less than Zero - --) izo Similarly number table manufactured must be of positive yzo Hence. А 2x + 3y = 36 2x + 24 azo Yzo < 28 Answer