A farmer growwx acres of peas and y acres of tomatoes. He has 12 acres available to plant peas and tomatoes
Write an inequality in rand y to satisfy this condition
The farmer must plant at least 2 acres of peas and at least 3 acres of tomatoes.
Write TV inequalities to satisfy these conditions.
The number of acres of tomatoes planted must NOT be more than twice the number of acres of
peas planted
Write an inequality in x and y to satisfy this condition
(I) Using a scale of 1 em to represent ane nere on each axes, draw graphs of the inequalities
you have written at (.) and (ii) above.
By shading the wanted area ONLY and labelling as s, the region which satisfies all four
inequalities.
(u marks)
The farmer makes a profit of $75 on each acre of peas and $50 on each acre of tomatoes.
Write an expression in x and y for the total profit. P, which may be earned on the peas
and tomatoes
Use the graph to determine the number of acres of peas and tomatoes the farmer
should plant in order to make maximum profit.
State the maximum profit
Total: 15 marks