the cost, c, to produce b baseball bats per day is modeled by the function c(b) = 0.06b² - 7.2b + 390. what…

the cost, c, to produce b baseball bats per day is modeled by the function c(b) = 0.06b² - 7.2b + 390. what number of bats should be produced to keep costs at a minimum?\no 27 bats\no 60 bats\no 174 bats\no 390 bats

the cost, c, to produce b baseball bats per day is modeled by the function c(b) = 0.06b² - 7.2b + 390. what number of bats should be produced to keep costs at a minimum?\no 27 bats\no 60 bats\no 174 bats\no 390 bats

Answer

Explanation:

Step1: Identificar la forma de la función

La función $C(b)=0.06b^{2}-7.2b + 390$ es una función cuadrática de la forma $y = ax^{2}+bx + c$, donde $a = 0.06$, $b=-7.2$ y $c = 390$.

Step2: Usar la fórmula del vértice

Para una función cuadrática $y = ax^{2}+bx + c$, la coordenada $x$-del vértice (en este caso $b$ para $C(b)$) está dada por $b=-\frac{b}{2a}$. Sustituyendo $a = 0.06$ y $b=-7.2$: $b=-\frac{-7.2}{2\times0.06}$

Step3: Realizar el cálculo

$b=\frac{7.2}{0.12}=60$

Answer:

60 bats