The supply function for manufacturing a certain item is p (x)=x^2+46x-66. the demand is p (x)=56x+30. if x represents he number of items (in hundreds) what is the optimum number of items to be manufactured? a: 600b: 960c: 16d: 1600 hurry i'm timed

The optimum point occurs when supply and demand are equal.

We then have to equalize both equations:

Rewriting the equation we have:

From here, we solve solve the quadratic equation and clear x:

The solutions of the equation are:

We discard the negative root.

We have then:

The optimum number of items to be manufactured is:

c: 16

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.