Answer:
1) x = 25 2) x = 23; m∠CBD = 80 degrees
Step-by-step explanation:
1) 5x + 15 = 6x - 10 Set both equations equal to each other
- 5x - 5x Subtract 5x from both sides
15 = x - 10
+ 10 + 10 Add 10 to both sides
25 = x
2) 2x + 14 + x + 7 = 90 Set the equations equal to 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 on both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 into the equation
2(23) + 14 = 60
Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is

Yes this is the right answer