Consider the function and the value of $a.$

$f(x)=\frac{-6}{x-1},a=8$

$($a$)$ Use $m_{tan}=\underset{h0}{lim}\frac{f(a+h)-f(a)}{h}$ to find the slope of the tangent line $m_{tan}=f^{\text{'}}(a).$

$m_{tan}=$

$($b$)$ Find the equation of the tangent line to $f$ at $x=a.($Let $x$ be the independent variable and $y$ be the dependent variable.$)$

Exercise $5-2$A $($Algo$)$ Allocating product cost between cost of goods sold and ending inventory LO $5-1$

Jones Company started the year with no inventory. During the year, it purchased two identical inventory items at different times. The

first purchase cost $$1,210$ and the other, $$1,420.$ Jones sold one of the items during the year.

Required

Based on this information, how much product cost would be allocated to cost of goods sold and ending inventory on the year$-$end

financial statements, assuming use of following cost flow assumptions:

a$.$ FIFO

b$.$ LIFO

c$.$ Weighted average