Answer:
y = 2,250 sq.ft
Hence, 2,250 sq.ft is the efficient size for the new hunting lodge.
Note: It can vary according to the cost per sq.ft. In this problem, we have assumed it as $15.
Explanation:
Data Given:
Organization members = 50
Equation given = 1.2 - 0.0004y = for the goods and size of the lodge.
where, y is the size of the hunting lodge in sq.ft.
Required = What is the efficient size for the new hunting lodge? = So, we need to find the value of y.
Solution:
First of all, we need to assume the cost for each sq.ft required to build this hunting lodge. As we have not given the cost. If we do not put the value then we will get a general answer in terms of variables. So, it is better to assume some value.
Let's assume the value = $15 per sq.ft
And we have 50 members in the organization so, multiply it with the equation given above.
X = 50 x (1.2 - 0.0004y)
X = 60 - 0.02y
So in order to find y, we need to equate this X to our assumed value of $15.
60 - 0.02y = 15
60 - 15 = 0.02y
45 = 0.02y
y = 2,250 sq.ft
Hence, 2,250 sq.ft is the efficient size for the new hunting lodge.
Note: It can vary according to the cost per sq.ft. In this problem, we have assumed it as $15.
