A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.
(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

a) , b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

So, derivative w.r.t x would be

As we know that

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

Since, 0.7975 < 1, so the demand is inelastic.

(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

The total revenue will also increase with increase in price.

As total revenue =

Hence, a) , b) 0.7975, demand is inelastic, c) increase.

I have seen Your question many times before:

Jorge earns a 9% commission on all of his sales. He had sales of $89,400 for the month. Harris works for a different company, and also sold $89,400 for the month but made $447 more than Jorge. What is Harris’ commission rate? please show your work.

Your work to the
Given that, Jorge's commission rate is 9% and his sales for the month  was $89,400, his commission was 9/100*$89,400=$8046.
Harris's sales for the month was also $89400 but he earned $477 more than Jorge, so his commission was $8046+$477=$8523
So his commission rate can be found by dividing his earnings by his sales and multiplying the quotient by 100.

Your final His commission rate was 8543/89400*100=9.53%(rounded to the nearest hundredth)

Hope this helped!!!