A furniture manufacturer makes chairs and sofas. Each chair can be sold for a profit of £15 and each sofa for a profit of £5. It takes 4 hours to make the chair and 5 hours to make the sofa. The manufacturer has enough workers to provide 200 hours per week producing the furniture. Customer demand requires that at least 7 times as many chairs as sofas are made. Chairs take up 1 m^3 of storage space and sofas take up 3 m^3. There is a total of 90m^3 of storage space available in the factory per week. Q1. What is the weekly profit of the manufacturer, assuming that the demand for furniture means that all item will be sold? Q2. What are the constraints for the problem?? Q3. Solve the linear programming. Anyone good with linear programming???