A bed mart company is in the business of manufacturing beds and
pillows. The company has 40 hours for assembly and 32 hours for
finishing work per day. Manufacturing of a bed requires 4 hours for
assembly and 2 hours for finishing. Similarly a pillow requires 2 hours
for assembly and 4 hours for finishing. Profitability analysis indicates
that every bed would contribute Birr 80, while a pillow contribution is
Birr 55 respectively. Find out the daily production of the company to
maximise the contribution (profit). Solve the problem by graphical
method.

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-11T11:53:20+01:00

The maximum daily profit for the company is $860

Inequality is an expression that shows the non equal comparison of two or more variables and numbers.

Let x represent the number of bed and y represent the number of pillow, hence:

4x + 2y ≤ 40 (1)

Also:

2x + 4y ≤ 32 (2)

From the graph, the solution is at:

(8, 4)

Profit = 80x + 55y = 80(8) + 55(4) = $860

The maximum daily profit for the company is $860

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