Answer: The relationship d = 5000 - 25p describes what happens to demand (d) as price (p) varies. Price can vary between $10 and $50. How many units can be sold when the price is $10?
4750
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Write a mathematical expression for total cost.
C(x) = 50000 + 25x
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Write an expression for total revenue.
R(x) = 45x
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Write an expression for total profit.
P(x) = 45x - (50000 + 25x)
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Find the break -even point.
X = 2500
Administrators at a university will charge students $150 to attend a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. How many students would have to register for the seminar for the university to break even?
24
Administrators at a university are planning to offer a summer seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. If we know that 20 people will attend, what price should be charged per person to break even?
$175
A newly opened bed-and-breakfast projects the following:
Monthly fixed costsVariable cost per occupied room per nightRevenue per occupied room per nightWrite the expression for total cost per month (30 days).
C(x) = 6000 + 20(30)x
A newly opened bed-and-breakfast projects the following:
Monthly fixed costsVariable cost per occupied room per nightRevenue per occupied room per nightWrite the expression for total revenue per month (30 days).
R(x) = 75(30)x
A newly opened bed-and-breakfast projects the following:
Monthly fixed costsVariable cost per occupied room per nightRevenue per occupied room per nightIf there are 12 rooms available, what percentage of rooms would have to be occupied, on average, to break even?
3.64 = 4 rooms - 4/12 = 33%
Step-by-step explanation: