Algebra Rules
Simplify the following expression: (4x^2)/(2x)
2x
y = 4x^3
12x^2
y = 3xz + 7(x^2)(z^2) +7x
dy/dx = ?
3z + 14xz^2 + 7
The first step of profit maximization is to the find TR. Find total revenue given the equation: Q = 21 - 3P
TR = 7Q -1/3(Q^2)
Simplify the following expression: (x^8)/(x^3*x^2)
x^3
y = 2x^2 - 3x + 7
4x-3
y = 3xz + 7(x^2)(z^2) +7x
dy/dz = ?
3x + 14(x^2)z
Find the revenue maximizing price and quantity given: P = 120 - 3Q
Price = 60
Quantity = 20
Rewrite 2x^(-2) as a fraction.
2/(x^2)
y = 30
0
TC = 30 + 2PY - .5P^2
dTC/dP = ?
2Y - P
Find the revenue maximizing price and quantity given: P = 180 - 24Q + Q^2
Quantity = 6
Price = 72
Rewrite the cubed root of x to the power of 7 as a variable with a fractional exponent.
x^(7/3)
TR = 30 -3Q -4Q^2
MR = -3-8Q
y = 2(x1^2)(x2^3) - 4x2 + 7(x1^2)x2
dy/dx2 = ?
6(x1^2)(x2^2) - 4 + 7x1^2
Find profit maximizing price and quantity given: P = 100 - Q and TC = 10Q
Price = 55
Quantity = 45
Simplify the following expression: (x^-2)/(x^2*x^-3)
x^-3
TR = 30-2Q+.25Q^-2
MR = -2-.5Q^-3
y = 2(x1^2)(x2^3) - 4x2 + 7(x1^2)x2
dy/dx1 = ?
4x1x^3 + 14x1x2
Find profit maximizing price and quantity given the equations: P = 100 - 2Q and TC = 20 + 10Q + Q^2
Price = 70
Quantity = 15