select the correct answer from each drop - down menu.\nthe revenue that an apparel company earns each month…

select the correct answer from each drop - down menu.\nthe revenue that an apparel company earns each month for its different product lines fluctuates throughout the year. over the course of a year, the revenue earned from clothing sales each month is modeled by function c, where x is the number of months since the beginning of the year.\nthe revenue earned from sales of shoes and accessories each month is modeled by function s, where x is the number of months since the beginning of the year.\ns(x)=0.6x^{3}-10.2x^{2}+32.4x + 127.2\nuse this information to complete the statement.\nbetween the 3rd and 6th months, the revenue earned from sales of shoes and accessories is \nreset next

select the correct answer from each drop - down menu.\nthe revenue that an apparel company earns each month for its different product lines fluctuates throughout the year. over the course of a year, the revenue earned from clothing sales each month is modeled by function c, where x is the number of months since the beginning of the year.\nthe revenue earned from sales of shoes and accessories each month is modeled by function s, where x is the number of months since the beginning of the year.\ns(x)=0.6x^{3}-10.2x^{2}+32.4x + 127.2\nuse this information to complete the statement.\nbetween the 3rd and 6th months, the revenue earned from sales of shoes and accessories is \nreset next

Answer

Explanation:

Step1: Find the revenue of shoes - accessories at (x = 3)

Substitute (x = 3) into (s(x)=0.6x^{3}-10.2x^{2}+32.4x + 127.2). [ \begin{align*} s(3)&=0.6\times3^{3}-10.2\times3^{2}+32.4\times3 + 127.2\ &=0.6\times27-10.2\times9 + 97.2+127.2\ &=16.2-91.8+97.2 + 127.2\ &=(16.2+97.2+127.2)-91.8\ &=240.6 - 91.8\ &=148.8 \end{align*} ]

Step2: Find the revenue of shoes - accessories at (x = 6)

Substitute (x = 6) into (s(x)=0.6x^{3}-10.2x^{2}+32.4x + 127.2). [ \begin{align*} s(6)&=0.6\times6^{3}-10.2\times6^{2}+32.4\times6+127.2\ &=0.6\times216-10.2\times36 + 194.4+127.2\ &=129.6-367.2+194.4 + 127.2\ &=(129.6+194.4+127.2)-367.2\ &=451.2-367.2\ &=84 \end{align*} ]

Step3: Estimate clothing - revenue from the graph

From the graph of (c(x)), when (x = 3), (c(3)\approx140), when (x = 6), (c(6)\approx60). For (x) between (3) and (6), we can see from the graph of (c(x)) and the values of (s(x)) we calculated. The function (s(x)) is decreasing on the interval ([3,6]). We can also note that for (x\in[3,6]), (s(x)>c(x))

Answer:

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