When a company produces and sells x thousand units per week its total weekly profit is P thousand dollars. where P = 100x/100 + x^2. The production level at t weeks from the present is x = 4 + 2t Find the marginal profit, dP/dx and the time rate of change of profit, dp/dt. How fast (with respect of time) are profits changing when t =8? dP/dx = (Type an expression using x as the variable.) dP/dt = (Type an expression using t as the variable.) The profits are at the rate of $ per week, when t equals 8. (Simplify your answer.)

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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