Answer:
(a)Revenue function, 
Marginal Revenue function, R'(x)=580-2x
(b)Fixed cost =900
.
Marginal Cost Function=300+50x
(c)Profit,
(d)x=4
Step-by-step explanation:
<u>Part A
</u>
Price Function
The revenue function
The marginal revenue function
<u>Part B
</u>
<u>(Fixed Cost)</u>
The total cost function of the company is given by 
We expand the expression
Therefore, the fixed cost is 900
.
<u>
Marginal Cost Function</u>
If 
Marginal Cost Function, 
<u>Part C
</u>
<u>Profit Function
</u>
Profit=Revenue -Total cost
<u>
Part D
</u>
To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.
The number of cakes that maximizes profit is 4.
Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
Answer:
The answer is always
Hope this helps......... :)
Answer:idk the answer just doing this for the B
Step-by-step explanation:
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Answer:
Algebra Examples
Popular Problems Algebra Find the Axis of Symmetry f(x)=x^2-5 f(x)=x2−5 Set the polynomial equal to y to find the properties of the parabola. y=x2−5
Rewrite the equation in vertex form.
y=(x+0)2−5 Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.a=1h=0k=−5
Since the value of a is positive, the parabola opens up.
Opens Up
Find the vertex
(h,k).(0,−5)
Find p, the distance from the vertex to the focus.
14 Find the focus.
(0,−194)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=0
