. SOMEONE PLEASE HELP ME?!?!
1 answer:
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Answer:
The maximum profit is reached with 4 deluxe units and 6 economy units.
Step-by-step explanation:
This is a linear programming problem.
We have to optimize a function (maximize profits). This function is given by:
being D: number of deluxe units, and E: number of economy units.
The restrictions are:
- Assembly hours:
- Paint hours:
Also, both quantities have to be positive:
We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)
The maximum profit is reached with 4 deluxe units and 6 economy units.
Much as you would like it to be D, it isn't. D has its center at (3,4). You must change the sign on both numbers inside the brackets.
You need something that looks like (x + 3)^2 + (y + 4)^2. So it could be A or B. How do you know which? The graph should give you an answer, then we'll talk about it. The red circle is A the blue circle is B. Which one is correct?
The answer to that is that the center is 5 units away from the origin. The radius of this circle is the sqrt(25) = 5 units away from the center. The blue one has a radius of sqrt(5) which is something over 2. It is not enough. So what's the answer?
