The very first one (the very left one)
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
now let's multiply both sides by 10:
and simplyfy:
(by dividing the first fraction's elements by 5)
change improper fraction into a mixed number
and 1 over 3 is 0.33333...
so the answer is 1.333333 - we can also write it as 1.(3)
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.
Just by the language difference means subtract,
Y^2-25 is the difference of squares
factored it's the sum and difference of their square roots
(x+5) (x-5)
It would be 404%
Hope this helps!