I make model spaceships. Two kinds, the Ragnarok and the Sicarious. My Ragnarok takes 5 minutes to mold, 3 for the machining and 5 for the assembly. Each Sicarious takes 6 minutes for molding, 2 minutes to machine and 18 minutes of assembly. I can only afford to run my factory to accompany for 240 minutes of molding, 120 minutes of machining and 540 minutes of assembly time. I sell the Ragnarok for 45 dollars and the Sicarious for 20 dollars. How many of each should I produce to maximize profit? What is my profit?
Let x be the number of Ragnarok and y the number of Sicarious
Here are the constraints :
5x + 6y ≤ 240
3x + 2y ≤ 120
5x + 18y ≤ 540
And we want to maximize this
45x + 20y
Look at the graph , here :
The profit will be maximized at an integer corner point in the feasible region....there is only one at (18 , 25)
So......we should produce 18 of the Ragnarok model and 25 of the Sicarious model
And the max profit is $ 1310
EDITED ANSWER CORRECTING AN EARLIER MISTAKE !!!