Gce Model Questions Vol1 2018 Mathematics Question 8

Practice essay / theory question 8 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers Inequalities, Linear Programming .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory

Topics: Inequalities Linear Programming

Question 8 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A company produces two types of widget, A and B. The profit per unit of A is ₦120 and per unit of B is ₦150. The weekly production capacity is limited to 800 units and the total weekly labour hours available are 540 h. Each unit of A requires 0.5 h of labour and each unit of B requires 0.75 h. The company wishes to achieve a profit of at least ₦78 000 each week.

Question Parts

( a )

Let x be the number of units of A produced and y the number of units of B produced. Write the system of inequalities that represents all the constraints, including non‑negativity.

( b )

Determine the coordinates of all vertices of the feasible region defined by the inequalities in part (a). (State the method used to obtain each vertex.)

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 8. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers Inequalities, Linear Programming .

View More Gce Model Questions Vol1 2018 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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