Answer:
a) 
b) 
c) 
Step-by-step explanation:
For total cost function
, average cost is given by
i.e., total cost divided by number of units produced.
Marginal average cost function refers to derivative of the average cost function i.e., 
Given:
Average cost = 
a)
At x = 50 units,

b)
Average cost = 
c)
Marginal average cost:
Differentiate average cost with respect to 
Take 
using quotient rule, 
Therefore,

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,

3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by

Number of triangles is needed is given by

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Find the median of the given data. If the mean is 4.5...
5, 7, 7, 8,x,5,4,3 = x, 3, 4, 5, 5, 7, 7, 8
The median is 5. For the second part... The question is incomplete... “If the mean is 4.5...” Also, I have no idea if x should have been added or not. Even if it was, it doesn’t change the answer.