Question

Demand for your bie-dyed T.shirts is given by the formula σ=490−80p⁰³ (Round vour answer to the neurest whole number.) dt/dθ​= Trstirts per month

Answer 1

The rate of change of demand with respect to the price is -240p² T-shirts per unit change in price.

Step-by-step explanation:

The demand for the bie-dyed T-shirts is given by the formula σ = 490 - 80p³, where σ represents the demand in T-shirts per month and p represents the price per T-shirt.

To find the rate of change of demand with respect to the price (dt/dθ), you need to differentiate the demand function with respect to p.

Differentiating the function σ = 490 - 80p³, we get dt/dθ = -240p².

Therefore, the rate of change of demand with respect to the price is -240p² T-shirts per unit change in price.