Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If
1 answer:
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Answer:
x = 66
Step-by-step explanation:
For a set of N numbers:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
In this case we have the data set:
{98, 122, 104, 115, 107, x}
And I assume that we want to have the mean = 102.
So we have a set of 6 numbers, the mean of this set will be:
We need to solve this equation for x.
If we multiply both sides by 6, we get:
(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612
546 + x = 612
x = 612 - 546 = 66
x = 66
The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.
<h3>What is a marginal cost?</h3>
It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.
We have a cost function of a product:
C(Q) = 3Q² +8
a) To find the marginal cost to differentiate it with respect to Q and plug
Q = 4:
C'(Q) = 6Q
C'(4) = 6(4) = 24
b) R(Q) = P×Q
R'(Q) = Q² - 20Q + 105
Plug Q = 4
R'(Q) = (4)² - 20(4) + 105
R'(Q) = 41
c) Marginal profit:
MP(Q) = R(Q) - C(Q)
After calculating:
MP'(Q) = Q² - 26Q + 105
Plug Q = 4
MP'(Q) = 16 - 104 + 105 = 17
Similar, we can find the maximum profit.
Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.
Learn more about the marginal cost here:
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<u>Answer:</u>
The correct answer option is B. 0.21.
<u>Step-by-step explanation:</u>
We are to find the value of using the law of cosines.
We know that the formula of the cosine rule is given by:
So substituting the given values in the above formula:
cos C = 0.21