QUESTION IMAGE
Question
the function $d(p)$ gives the number of items that will be demanded when the price is $p$. the production cost, $c(x)$, is the cost of producing $x$ items. to determine the cost of production when the price is $7, you would: solve $d(c(x)) = 7$ evaluate $c(d(7))$ evaluate $d(c(7))$ solve $c(d(p)) = 7$
Step1: Find demand at price $7$
First, we use the demand - price function $D(p)$. When $p = 7$, the number of items demanded is $D(7)$.
Step2: Find production cost for that demand
Then, we use the production - cost function $C(x)$. We substitute the number of items demanded (which is $D(7)$) into $C(x)$ to get the cost of production. So we evaluate $C(D(7))$.
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Evaluate $C(D(7))$