a factory can manufacture 1,000 vehicles, either cars or trucks, per day. the factory must manufacture at least 200 more cars than trucks. if the profit to be made from a car is 1,000$, and the profit from a truck is 1,00$, what numbers of cars and trucks should be manufactured to maximize the profits of the operation of the factory Solution let x= # of cars produced let y= # of trucks produced Constraints x0 y0 x+y 1000 x+200 y Profit Equation P(t) = 1000x + 100y Graph the constraints and take the corners of the area within the lines (there should be four, one of them is (0,0)). Plug the points into the profit equation..

1. a factory can manufacture 1,000 vehicles, either cars or trucks, per day. the factory must
manufacture at least 200 more cars than trucks. if the profit to be made from a car is 1,000$, and
the profit from a truck is 1,00$, what numbers of cars and trucks should be manufactured to
maximize the profits of the operation of the factory
Solution
let x= # of cars produced
let y= # of trucks produced
Constraints
x0
y0
x+y 1000
x+200 y
Profit Equation
P(t) = 1000x + 100y
Graph the constraints and take the corners of the area within the lines (there should be four, one
of them is (0,0)).
Plug the points into the profit equation.