Answer:
And we can solve for y and we got:
And using condition (1) we can solve for x and we got:
So then the minimum cost for this case would be:
Explanation:
For this case the graph attached illustrate the problem for this case
We know that the total area is 60000, so then we have:
If we solve for x we got:
(1)
Now we can define the cost function like this:
We can use the condition (1) and if we replace in the cost function we have:
Since we need to minimize the cost, we can derivate the function in terms of y and we got:
And we can solve for y and we got:
And using condition (1) we can solve for x and we got:
So then the minimum cost for this case would be:
