Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs ![= 400x+1600](https://tex.z-dn.net/?f=%3D%20400x%2B1600)
Sales revenue = no of units sold * price = ![x(700-5x) = 700x-5x^2](https://tex.z-dn.net/?f=x%28700-5x%29%20%3D%20700x-5x%5E2)
Profit funciton = P(x) = Sales revenue - Total cost
= ![700x-5x^2-400x-1600\\=300x-5x^2-1600](https://tex.z-dn.net/?f=700x-5x%5E2-400x-1600%5C%5C%3D300x-5x%5E2-1600)
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
![P'(x) = 300-10x\\p"(x) = -10](https://tex.z-dn.net/?f=P%27%28x%29%20%3D%20300-10x%5C%5Cp%22%28x%29%20%3D%20-10%3C0%5C%5Cx%3D30%20whenP%27%28x%29%20%3D0)
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
Answer:
y = -5/14x + 12
Step-by-step explanation:
add 14y to both sides to isolate variables and divide everything by 14 to get 1y and boom
Answer:
28
Step-by-step explanation:
-2 × -7 = 14
14 × 2 = 28
thats the correct answer
Answer:
![90\pi](https://tex.z-dn.net/?f=90%5Cpi)
Step-by-step explanation:
The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that
cm. Plugging this into the equation, you get
. Hope this helps!