Question

The monthly demand for bread canisters is given by :

Answer 1

Given the price model:

`p=\sqrt[]{81-x^2}`

Where x represents the number of thousands of canisters and p is the price.

(a) If p = 8:

`8=\sqrt[]{81-x^2}`

Taking the square on both sides:

`\begin{gathered} 8^2=81-x^2 \\ 64=81-x^2 \\ \Rightarrow x^2=17 \\ \Rightarrow x=\sqrt[]{17} \end{gathered}`

(b)

If the price is 8, the number of canisters demanded is 1000*x, since x represents the number of thousands of canisters. Then, to the nearest whole number:

`\begin{gathered} \text{Number of canisters demanded }=1000\cdot\sqrt[]{17} \\ \Rightarrow\text{Number of canisters demanded }=4123 \end{gathered}`