Q$2$: $4$ Based on the data shown in the table, develop a weighted index for the price of a gallont $2002,$ when $1986$ is the reference yemr having an index value of $99\mathrm{.}2.$ The weight placed on a regulat unleadod gasoline is $3$ times that of premium and unleaded plus, while premium is double sinkaded phur:

$\backslash$table$[[,$Price per yiallon $1986,$Prise Jer galione $2002],[$Premium$,99,170],[$Inlesded plus,$90,103],[$Regular unleaded,$80,100]]$

Q$3.$ A motor for car manuffcttre A is keyed to $2005,$ when the baveline index of each cost element was arbitrarily set at $100.$ A company would like to manufacture this motor in $2021$ that has an index value of $300.$ The following manufacturing details in $2021$ are:

Factory labor hours: $600$ minutes

Factory tabor costs $$60$ thour

Planning labor costs: $10\%$ from the factory lahor cost

Quality control labor costs: $2\%$ from the factory labor cost

Ovcrhead cost: $110\%$ from the total labor cost

Material cost: $52000$

Packing cost: $10\%$ from $($Overhcad $+$ Factory labor cost$)$

Other direct charge: $5\%$ from $($Overhead $+$ Factory labor cost $+$ Material Coct$)$

Quantify $($Lot sire$)$: $100$ units

A$.$ Given that, in $2021,$ the profit margin is set at $20\%$ of the manufacturing cost calculate the sellie price per unit for manufacturer $A$ in $2021.$

B$-$ If the best competitor price is $$20$ unif, does the company nced to reduce the cost of the material not? And what is the percentage of reduction?