# Q: Suppose the cost c(x) in dollars to produce x portaboy game system for a local retailer is c(x) = 80x + 150. find an expression?

Expert:

1. Find and interpret C(10)

To find C(10), we replace every occurrence of x with 10 in the formula for C(x) to getC(10) = 80(10) 150 = 950. Since x represents the number of PortaBoys produced, andC(x) represents the cost, in dollars, C(10) = 950 means it costs \$950 to produce 10 PortaBoysfor the local retailer.

2. Explain the significance of the restriction on the domain, x ≥ 0

The restriction x ≥ 0 is the applied domain, as discussed in Section 1.5. In this context,x represents the number of PortaBoys produced. It makes no sense to produce a negativequantity of game systems

3. Find and interpret C(0)

To find C(0), we replace every occurrence of x with 0 in the formula for C(x) to get C(0) =80(0) 150 = 150. This means it costs \$150 to produce 0 PortaBoys. The \$150 is often calledthe fixed or start-up cost of this venture. (What might contribute to this cost?)

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