Answer:
a. 135 doorknobs
b. ![R(x) = 48.5x-0.09 x^2](https://tex.z-dn.net/?f=R%28x%29%20%3D%2048.5x-0.09%20x%5E2)
Step-by-step explanation:
The price-demand function is:
![p(x) = 48.5-0.09 x](https://tex.z-dn.net/?f=p%28x%29%20%3D%2048.5-0.09%20x)
a. At a price of $36.30, the number of doorknobs sold, 'x' is:
![p(x) = 48.5-0.09 x\\36.30 = 48.5-0.09 x\\x= \frac{48.5-36.30}{0.09}\\x=135.55](https://tex.z-dn.net/?f=p%28x%29%20%3D%2048.5-0.09%20x%5C%5C36.30%20%3D%2048.5-0.09%20x%5C%5Cx%3D%20%5Cfrac%7B48.5-36.30%7D%7B0.09%7D%5C%5Cx%3D135.55)
Rounding it down to the nearest whole unit, the company can sell 135 doorknobs at $36.30
b. Revenue is the product of the price, p(x), by the demand, x. Therefore, the Revenue function is:
![R(x) = x*p(x)=x(48.5-0.09 x)\\R(x) = 48.5x-0.09 x^2](https://tex.z-dn.net/?f=R%28x%29%20%3D%20x%2Ap%28x%29%3Dx%2848.5-0.09%20x%29%5C%5CR%28x%29%20%3D%2048.5x-0.09%20x%5E2)
Answer:
1 ballon will be leftover.
Step-by-step explanation:
53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...
Answer:
4/10
Step-by-step explanation:
So lets say you have 10 lifesavers. 4 of them will be lemon, 1/5 or them (also know as 2/10) would be strawberry meaning there would be two strawberries. This leaves 4 lifesavers left and since you only have 10, that means 4 of them would be orange. The chance of getting an orange flavored lifesaver is 4 out of 10. Also know as 4/10.
Answer:
Step-by-step explanation:
4