Simultaneous equations

kelove1

Please can someone help simplify this question?
A business makes two products – the Sen and the Ora. Both use the same materials and the same labour.
Next period the business expects a delay on materials due to problems at Liverpool. It can expect to receive only 14,000 kg of material in the period.
The business also has a restriction on labour and only 4,000 hours will be available.
The details of the products are as follows.

Contribution per unit Sen £32.00 Ora £50.00
Materials per unit Sen 4kg Ora 5kg
Labour time per unit Sen 1 hour Ora 2.5 hours

Calculate the contribution per kg of material and the contribution per labour hour using the following table:

Contribution per kg of material
Sen £8 Ora £10

Contribution per labour hour
Sen £32 Ora £20


Complete the following table to show the production, materials required and labour required which will maximise the total contribution.

Sen Ora Total
Production - units
Material req kg
Labour req hrs
Contribution

I think I have calculated the first part of the contribution right but not sure how to do the equation to calculate units and labour hours required. I'm confused with this one!

shamilkaria

Hi @kelove1,

I hope you are well?

Sorry for the late reply on this, only just saw this question now. Not too sure if you still need help with this or not. Do you have a screenshot of the question, unless this is everything the question asks, just want to make sure all the information is there.

Many thanks

Sham