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.
To divide fractions:
Flip the second fraction
Multiply the numerators
Multiply the denominators
Simplify
2/9*10/9
2*10=20
9*9=81
20/81
Hope this helps!!
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
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