Q2 A painter has exactly 32 units of yellow dye and 54 units of green dye.
He plans to mix as many litres possible of colour A and colour B.
Each litre of colour A requires 4 units of yellow dye and 1 unit of green dye.
Each litre of colour B requires 1 unit of yellow dye and 6 units of green dye.
Find the maximum number of litres he can mix.
Q3.
A farmer can plant up to 8 hectares of land with wheat and barley. He can earn $5,000 for every
hectare he plants with wheat and $3,000 for every hectare he plants with barley. His use of a
necessary pesticide is limited by federal government regulations to 10 litres for his entire 8
hectares. Wheat requires 2 litres of pesticide for every hectare planted and barley requires just 1
litre per hectare.
(a)
(b)
What is the maximum profit he can make in this scenario?
How many hectares of wheat and how many hectares of barley will give the maximum
profit?