Please help $!$

Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP

problem:

Maximize contribution $=,4x_1+4x_2+7x_3$

$1x_1+7x_2+4x_{3}100$

$2x_1+1x_2+7x_{3}110$

$8x_1+4x_2+1x_{3}100$

$x_1,x_2,x_{3}0$

$(C_1$ : hours on machine $1)$

: hours on machine $2)$

: hours on machine $3)$

a$)$ Using a computer software for solving LP$,$ the optimal solution achieved is:

$x_1=$

$($round your response to two decimal places$).$

$x_2=$

$($round your response to two decimal places$).$

$x_3=$

$($round your response to two decimal places$).$

Contribution $($objective value$)=$

$($round your response to two decimal places$).$

b$)$ Machine $1$ has

hours of unused time available at the optimal solution $($round your response to two

decimal places$).$

Machine $2$ has

hours of unused time available at the optimal solution $($round your response to two

decimal places$).$

Machine $3$ has

hours of unused time available at the optimal solution $($round your response to two

decimal places$).$

c$)$ An additional hour of time available for third machine, is worth

dollars to the firm $($round your response to

two decimal places$).$

d$)$ An additional $8$ hours of time available for the second machine, at no cost to the firm, are going to increase the objective

value by

dollars $($round your response to two decimal places$).$