unit selling price and per unit variable costs for each of the three components are as follows.

$($a$)$ For each component, calculate the profit margin $($in dollars, profit margin $=$ selling price $-$ material cost $-$ labor cost$).$

component $1$$

component $2$$$10$

component

Formulate and solve for the recommended production quantities that will maximize contribution to profit.

component $1$

component $2$

$6300$

$K$ units

component $3$

$x$ units

$x$ units

$($b$)$ What are the objective coefficient ranges $($in dollars$)$ for the three components? $($If there is no upper or lower limit$,$ enter NO LIMIT. Round your answers to two decimal places.$)$

component $1$ $ to $

component $2$$$,$ to $

component $3$$

to $