SOLUTION: I would love to know if I did this problem correctly:
The XYZ Corporation plans to open three different types of fast-food restaurants. Each type
A restaurant requires an initi
Algebra.Com
Question 459824: I would love to know if I did this problem correctly:
The XYZ Corporation plans to open three different types of fast-food restaurants. Each type
A restaurant requires an initial cash outlay of $600,000, needs 15 employees, and is expected to make
an annual profit of $45,000. Each type B restaurant requires an initial cash outlay of $400,000, needs
9 employees, and is expected to make an annual profit of $35,000. Each type C restaurant requires an
initial cash outlay of $300,000, needs 5 employees, and is expected to make an annual profit of
$25,000. The XYZ Corporation has $48,000,000 available for initial outlays, does not want to hire
more than 1000 new employees, and would like to open at most 70 restaurants. How many restaurants of each type should the XYZ Corporation open in order to maximize the expected annual profit?
Let x = number of type A restaurants, y = number of type B restaurants, and z = number of type C
restaurants.
I said
{x+y <=40
x+y >=10
x <= 30
y <= 25
x,y>= 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Not to sound mean or arrogant or anything like that, but you aren't even close.
Let A be the number of type A, B be the number of type B, and C be the number of type C.
The total annual profit (in $1,000s) will be:
And that is your objective function that you want to maximize subject to the constraints that you have less than or equal to $48M in initial outlay, less than or equal to 1000 employees, and less than or equal to 70 restaurants:
You also want to constrain all three variables to integers greater than or equal to zero -- you can't have a fraction of a restaurant, and you can't have a negative number of restaurants.
This is ONLY the setup to the problem. The actual solution involves significantly more work. Write back and we can discuss my fee.
John
My calculator said it, I believe it, that settles it
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