$1$a$)$ Complete the table below, calculating marginal product, average product, total variable cost, average variable cost, total cost, average total cost, and marginal cost to two decimal places.

$**$Think about how you can calculate the total variable cost for column $(6)...$You have the number of variable inputs that the firm is using and the price of the variable input.

$\backslash$table$[[\backslash$table$[[(1)],[$Units of$],[$Variable$],[$Input$]],\backslash$table$[[(2)],[$Total$],[$Product$]],\backslash$table$[[(3)],[$Marginal$],[$Product$]],\backslash$table$[[(4)],[$Average$],[$Product$]],\backslash$table$[[(5)],[$Price of$],[$Variable$],[$Input$]],\backslash$table$[[(6)],[$Total$],[$Variable$],[$Cost$]],\backslash$table$[[(7)],[$Average$],[$Variable$],[$Cost$]],\backslash$table$[[(8)],[$Total$],[$Fixed$],[$Cost$]],\backslash$table$[[(9)],[$Total$],[$Cost$]],\backslash$table$[[(10)],[$Average$],[$Total$],[$Cost$]],\backslash$table$[[(11)],[$Marginal$],[$Cost$]]],[0,0,-----,$cdots,$50,0,----,200,,----,-----],[5,20,,,50,,,200,,,],[10,60,,,50,,,200,,,],[15,90,,,50,,,200,,,],[20,110,,,50,,,200,,,],[25,125,,,50,,,200,,,],[30,135,,,50,,,200,,,],[35,140,,,50,,,200,,,]]$

b$)$ When marginal product is greater than average product, average product is $($increasing$/$constant$/$decreasing$)$

$q,$ as more input is used... When marginal product is less than average product, average product is $($increasing$/$constant$/$decreasing$)$ as more input is used...

c$)$ Marginal product increases until after the unit of input is added, at which point it decreases...The marginal cost decreases until after the $$ unit of the input is added, at which point it increases.

d$)$ Marginal cost and average variable cost are nearly equal when is smallest...In the table, the corresponding total product is units. $$ t$...q,$