A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by q = 37 p0.85 where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price. Find E (p)

E (t) = number of hours x (37/q) ^ (0.85).

Step-by-step explanation:

q = 37 x p^ (0.85)

Divide both sides by 37, we have

(q/37) = p^ (0.85)

Multiply both sides by p^ (-0.85), we have

p^ (-0.85) x (q/37) = p (0.85) x p (-0.85)

p^ (-0.85) x (q/37) = 1

Divide both sides by (q/37), we have

p^ (-0.85) = 37/q

Therefore,

p = (37/q) ^ (0.85). The "minus" sign will be removed

Answer: E (p) = 6/7√37/q

Step-by-step explanation: if q = 37/p^0.85, then we are to make p the subject formula.

Now multiply both sides by p^0.85, we will have

P^0.85q = 37

Divide through by q, we get

P^0.85 = 37/q

But 0.85 = 6/7

So we take the 6/7 root of both sides, we get

P = 6/7√37/q

Therefore E (p) = 6/7√37/q