Answer:
(a)$13
(b) Loss of $4
Step-by-step explanation:
C(q) represents Cost of producing q units.
R(q) represents Revenue generated from q units.
P(q) represents Total Profit made from producing q units.
Marginal analysis is concerned with estimating the effect on quantities such as cost, revenue, and profit when the level of production is changed by a unit amount. For example, if C(q) is the cost of producing q units of a certain commodity, then the marginal cost, MC(q), is the additional cost of producing one more unit and is given by the difference
MC(q) = C(q + 1) − C(q).
Using the estimation
C'(q)≈[TeX]\frac{C(q+1)-C(q)}{(q+1)-q}[/TeX]=C(q+1)-C(q)
We find out that MC(q)=C'(q)
We can therefore compute the marginal cost by the derivative C'(q).
This also holds for Revenue, R(q) and Profit, P(q).
(a) If C'(50)=75 and R'(50)=88
51st item.
P'(50)=R'(50)-C'(50)
=88-75=$13
The profit earned from the 51st item will be approximately $13.
(b) If C'(90)=71 and R'(90)=67, approximately how much profit is earned by the 91st item.
P'(90)=R'(90)-C'(90)
=67-71= -$4
The profit earned from the 91 st item will be approximately -$4.
There was a loss of $4.
We are practicing finding the percent of each number
Answer : 9
Step-by-step explanation:
The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Answer:
Step-by-step explanation:
Looking at the Venn diagram,
The total number of students surveyed is 7 + 5 + 8 + 6 + 2 + 4 + 3 + 6 = 41
The number of children that studies none of the subjects is 6
The number of children that study only biology is 7
The number of children that study only physics is 5
The number of children that study only physics and biology is 2
Therefore, the number of students that do not study chemistry is 6 + 7 + 2 + 5 = 20
Probability = number of favorable outcomes/total number of outcomes
Therefore, the probability that a child chosen at random does not study chemistry is 20/41 = 0.49
Answer:
The temperature a t = 0 is 190 °F
The temperature a t = 1 is 100 °F
The temperature a t = 2 is 77.5 °F
It takes 1.5 hours to take the coffee to cool down to 85°F
It takes 2.293 hours to take the coffee to cool down to 75°F
Step-by-step explanation:
We know that the temperature in °F, of a cup of coffee t hours after it is set out to cool is given by the following equation:
a) To find the temperature a t = 0 you need to replace the time in the equation:
b) To find the temperature after 1 hour you need to:
c) To find the temperature after 2 hours you need to:
d) To find the time to take the coffee to cool down , you need to:
e) To find the time to take the coffee to cool down , you need to:
A.
25°
B.
55°
C.
85°
D.
125°