Asked by maths

A factory produces two products A and B using raw materials p and q. It uses 3 units of p and 1 unit of q to produce one unit of A. It uses 1 unit of p and 2 units of q to produce one unit of B. The maximum daily supplies are 330 units of p and 220 units of q. If the profit per unit of A is $3 and the profit per unit of B is $2, what is the maximum total daily profit (in dollars)?
Answered by Steve
If x units of A are made, and y units of B, then

3x+y <= 330
x+2y <= 220

p(x,y) = 3x+2y

plug into your favorite linear algebra calculator to find

maximum p(88,66) = 396
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