Economic Problems: with supported workings, show which combination of products to be produced will achieve the highest profit for the company.

Economic Problems

Zebra Ltd (Extra Practice Question)
It has three products all of which require the same production facilities. Financial data on the three products are as follows:

Product                                                X             Y              Z
£ per unit £ per unit £ per unit
Selling price per unit (£)                  190             132        95
Variable Cost per unit (£):
Direct material per unit (£)              40                35       22

Direct Labour per unit (£)               30                 15          8

Other variable cost per unit (£)       10                10            5

Share of fixed cost per unit (£)         30              30            30

Monthly demand in units (units)      120             180       200

Machine time per unit (hours)             11               6             4

The same machine is used to produce all three products and hence, fixed cost is not affected. Fixed cost is £14,300 per month for all production.Machine time is limited to 2,320 hours per month. Labour is a variable cost for this project.

Required:

With supported workings, show which combination of products to be produced will achieve the highest profit for the company.