Question

The Greener Corporation produces electrical motorcycles and electric cars. The management wanted to produce at least 2 electrical cars and 8 electrical motorcycles but no more than 5 electric cars per month. The production department can produce a maximum of 20 electric cars and electrical motorcycles per month. The profit on each electric motorcycles is P20,000 while the profit on each electric car is P150,000. Find the required number of electric cars and electric motorcycles to get a maximum profit.

Answer 1

Linear programming problem.

number of cars --- x
number of bikes --- y

2 ≤ x ≤ 8
y ≤ 5

x+y ≤ 20

in the first quadrant, sketch these inequalities and shade in their common region.
( mine is a rectangle )

Which point is farthest from the origin ?
looks like we have points of interest at
(2,0) , (2,5), (8,5) and (8,0)

profit = 150000x + 20000y
at (2,0), profit = 300000
at (2,5), profit = 400000
at (8,5), profit = 1300000 -- that's the one

they should make 8 cars and 5 bikes