A Company manufactures two different products. For the coming week 120hours of labour are available.

A Company manufactures two different products. For the coming week 120hours of labour are available for manufacturing the two products. In addition, since both product generate a good profit , Management is interested in using all 120 hours during the week. Each unit produced of product A require 3hours of labour and each unit of product B requires 2.5 hours.

i) Define an equation which state that total work –hours used for producing X units of product A and Y units of product B equals 120. (3mks). ii) How many Units of product A can be produced if 30 units of product B are produced.

(2mks)

iii) If management decides to produce one product only , what is the maximum quantity which can be produced of product A and the maximum of product B. (3mks)