A furniture manufacturer makes stools, chairs and coffee-tables. Each stool requires 2 mins sanding, 2 mins staining and 4 mins varnishing. Each chair requires 5 mins sanding, 4 mins staining and 3 mins varnishing. Each coffee-table requires 5 mins sanding, 4 mins staining and 6 mins varnishing. The sanding machine is available for 6 hours a day, the staining machine for 5 hours a day, and the varnishing equipment for 6 hours a day. We wish to find how many of each type of furniture can be made daily. Suppose s stools, c chairs and t tables can be made each day. Hint: You can (but do not have to) modify the Matlab code provided on blackboard to compute the answer in part b). For this question you need to know Lecture 1, Week 11. a) Write down three equations corresponding to the time restrictions (in minutes) on sanding, staining and varnishing. Use the variables s, c and t, for the number of stools, chairs and tables, respectively. Sanding: Staining: Varnishing: b) Solve the system of linear equations using the Matlab linsolve command. S = C = t =