Answer:
Optimal package size = 4 units
Optimal package price = $20
Explanation:
P = 8 - 1.5Q and C(Q) = 2.0Q, MC = 2
To obtain optimal package size, we put
Price is equal to the marginal cost, P = MC
8 - 1.5Q = 2
1.5Q = 6
Q = 6 ÷ 1.5
= 4
Therefore,
Optimal package size = 4 units
Hence,
Optimal package price:
= 0.5[8 - 2] × 4 + 2 × 4
= 12 + 8
= $20
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The average change in the tuition in the school is $1748.30 per year
<h3>How to find the average rate of change</h3>
The formula would be
y2 -y1 / x2 - x1
The value for y1 = 19890
y2 = 30380
x2 = 2011
x1 = 2005
We would have to put these values in the formula that we have above such that we would be having:
30380 - 19890 / 2011 - 2005
10490 / 6
= $1748.30
Hence we would say that the average rate of change is $1748.30 per year.
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