Given:
Fixed cost = b = $ 42,500
Production cost (Variable cost) /unit = m = $ 6/ unit
Let 'x' represent the number of unit, therefore the variable cost will be
a) The cost function will be the sum of the fixed cost and the variable cost.
b) The revenue function is the amount the product is sold per unit.
Recall: 'x' represents the number of units.
Therefore,
Hence, the revenue function R(x) is
c) The profit function is the difference between the revenue function and the cost function.
Hence, the profit function is
d) Let us compute the profit (loss) values when the units are 6000 and 11000
Using the profit function
Therefore,
Hence,
Answer:
It takes 3.5 cups of pancake mix and 2.625 cups of water to make 21 pancakes.
Step-by-step explain
First divide each by 6 to figure out how much mix and water it takes to make one pancake
1/6 mix + .125 cups water = 1 pancake
Multiple each by 21 to know how much mix and water it takes to make 21 pancakes
3.5 mix + 2.625 water = 21 pancakes
Answer:
4(x-2)(x+3)
- Factor a GCF from the expression, if possible.
- Factor a Trinomial, if possible.
- Factor a Difference Between Two Squares as many times as possible.
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Answer: he sold 9 pairs of dress shoes.
he sold 4 pairs of athletic shoes.
Step-by-step explanation:
Let x represent the number of pairs of dress shoes that he sells.
Let y represent the number of pairs of athletic shoes that he sells.
The total number of pairs of shoes that he sold in a day is 13. It means that
x + y = 13
The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that
4x + 3y = 48- - - - - - - - - - 1
Substituting x = 13 - y into equation 1, it becomes
4(13 - y) + 3y = 48
52 - 4y + 3y = 48
- 4y + 3y = 48 - 52
- y = - 4
y = 4
x = 13 - y = 13 - 4
x = 9
5.50 divided by 10 gives you 55. There will be 55 dimes in $5.50 :)
