Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution$=$ Maximize contribution$=3$X$1+5$X$2+7$X$31$X$1+7$X$2+4$X$3<=100($C$1$: hours on machine $1)2$X$1+1$X$2+7$X$3<=110($C$2$: hours on machine $2)8$X$1+4$X$2+1$X$3<=100($C$3$: hours on machine $3)$ X$1,$ X$2,$ X$3>=0)$ Machine $1$ has $---$ hours of unused time available at the optimal solution $($round your response to two decimal places$).$ Part $7$ Machine $2$ has $--$ hours of unused time available at the optimal solution $($round your response to two decimal places$).$ Part $8$ 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 the third machine, is worth $----$ dollars to the firm $($round your response to two decimal places$).$ d$)$ An additional $10$ 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$).$