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Use the graph to complete each statement about this situation.
The cost of manufacturing calculators can be modeled by the following equation, where c(p) represents the cost, in thousands of dollars, and p represents the number of units.

plzzz helpppppp me Use the graph to complete each statement about this situation The cost of manufacturing calculators can be modeled by the following equation class=

Respuesta :

For this case we have the following function:
 c (p) = p ^ 2 - 28p + 250
 We must rewrite the function so that the minimum of the function can be seen.
 For this we complete square:
 c (p) + (-28/2) ^ 2 = p ^ 2 - 28p + 250 + (-28/2) ^ 2
 c (p) + 196 = p ^ 2 - 28p + 250 + 196
 c (p) = p ^ 2 - 28p + 196 + 250 - 196
 c (p) = (p - 14) ^ 2 + 54
 Answer:
 
c (p) = (p - 14) ^ 2 + 54
Equation:
c (p) = p ^ 2 - 28p + 250
Solution: c (p) + (-28/2) ^ 2 = p ^ 2 - 28p + 250 + (-28/2) ^ 2 c (p) + 196 = p ^ 2 - 28p + 250 + 196 c (p) = p ^ 2 - 28p + 196 + 250 - 196 c (p) = (p - 14) ^ 2 + 54

 Answer: c (p) = (p - 14) ^ 2 + 54