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
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span>
(910)(89) = 80990</span>
Answer:
Given A triangle ABC in which
∠C =90°,∠A=20° and CD ⊥ AB.
In Δ ABC
⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]
⇒20° + ∠B + 90°=180°
⇒∠B+110° =180°
∠B =180° -110°
∠B = 70°
In Δ B DC
∠BDC =90°,∠B =70°,∠BC D=?
∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]
90° + 70°+∠BC D =180°
∠BC D=180°- 160°
∠BC D = 20°
In Δ AC D
∠A=20°, ∠ADC=90°,∠AC D=?
∠A + ∠ADC +∠AC D=180° [angle sum property of triangle]
20°+90°+∠AC D=180°
110° +∠AC D=180°
∠AC D=180°-110°
∠AC D=70°
So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°
Answer:
5 and 6 are examples of vertical angles.
Step-by-step explanation:
Vertical angles are two angles on opposite sides of an intersection of two lines. This is exactly what we see in this picture with 5 and 6
Answer:
The number is 23
Step-by-step explanation:
23-10=13
