this is all one question

\\[ \\begin{aligned} \\text { Let } F M & =\\text { number of frames manufactured } \\\\ \\text { FP } & =\\text { number of frames purchased } \\\\ \\text { SM } & =\\text { number of supports manufactured } \\\\ \\text { SP } & =\\text { number of supports purchased } \\\\ \\text { TM } & =\\text { number of straps manufactured } \\\\ \\text { TP } & =\\text { number of straps purchased } \\end{aligned} \\] \\( F M, F P, S M, S P, T M, T P \\geq 0 \\). \\[ \\mathrm{FM}, \\mathrm{FP}, \\mathrm{SM}, \\mathrm{SP}, \\mathrm{TM}, \\mathrm{TP} \\geq 0 . \\] b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar. \\( \\$ \\) c. How many hours of production time are used in each department? d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? \\( \\$ \\) e. Another manufacturer has offered to sell frames to Frandec for \\( \\$ 45 \\) each. Could Frandec improve its position by pursuing this opportunity? Why or why not? \\[ \\begin{aligned} \\text { Let } F M & =\\text { number of frames manufactured } \\\\ \\text { FP } & =\\text { number of frames purchased } \\\\ \\text { SM } & =\\text { number of supports manufactured } \\\\ \\text { SP } & =\\text { number of supports purchased } \\\\ \\text { TM } & =\\text { number of straps manufactured } \\\\ \\text { TP } & =\\text { number of straps purchased } \\end{aligned} \\] \\( F M, F P, S M, S P, T M, T P \\geq 0 \\). \\[ \\mathrm{FM}, \\mathrm{FP}, \\mathrm{SM}, \\mathrm{SP}, \\mathrm{TM}, \\mathrm{TP} \\geq 0 . \\] b. What is the total cost of the manufacturing and purchasing plan? When required, round your answer to the nearest dollar. \\( \\$ \\) c. How many hours of production time are used in each department? d. How much should Frandec be willing to pay for an additional hour of time in the shaping department? \\( \\$ \\) e. Another manufacturer has offered to sell frames to Frandec for \\( \\$ 45 \\) each. Could Frandec improve its position by pursuing this opportunity? Why or why not