A storage company rents its units for $ 120 per month. The company has fixed monthly costs of $ 2100 and variable costs (air- conditioning and service) of $ 50 per unit given below: (a). Write a cost function representing the monthly cost C x to the company for x units. (b). Write a revenue function representing the revenue R x when x units per month are rented. (c). Determine the number of units that must be rented in a month for the company to break even.
A storage company rents its units for $ 120 per month. The company has fixed monthly costs of $ 2100 and variable costs (air- conditioning and service) of $ 50 per unit given below: (a). Write a cost function representing the monthly cost C x to the company for x units. (b). Write a revenue function representing the revenue R x when x units per month are rented. (c). Determine the number of units that must be rented in a month for the company to break even.
To calculate: A storage company rents its units for $120 per month. The company has fixed monthly costs of $2100 and variable costs (air- conditioning and service) of $50 per unit given below:
(a). Write a cost function representing the monthly cost Cx to the company for x units.
(b). Write a revenue function representing the revenue Rx when x units per month are rented.
(c). Determine the number of units that must be rented in a month for the company to break even.
Question 2: (10 points) Evaluate the definite integral.
Use the following form of the definition of the integral to evaluate the integral:
Theorem: Iff is integrable on [a, b], then
where Ax = (ba)/n and x₂ = a + i^x.
You might need the following formulas.
IM³
L² (3x²
(3x²+2x-
2x - 1)dx.
n
[f(z)dz lim f(x)Az
a
n→∞
i=1
n(n + 1)
2
n
i=1
n(n+1)(2n+1)
6
For the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.
For the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.