The fashion company "minimum design" produces three products: a fabric necklace, a bag and a scarf. The necklace requires 0.1m2, the bag 0.7m2 and the scarf 0.3m2 of fabric. The company employs a tailor who works for 30 minutes for each necklace, 80 minutes for each bag and 20 minutes for each scarf produced. The tailor can work a maximum of 35 hours per week and the company's fabric supplier weekly provides 12.5m2 of fabric. The forecasted weekly demand is 40 necklaces, 20 bags and 30 scarfs. The necklace sells for $20, the bag for $85 and the scarf for $35. Your task is to solve the problem using linear programming. Assume fractional values of variables are feasible. Write answers to the following questions in the spaces provided. a. (3 points ) Define the decision variables with explanation of their meaning. Make sure to indicate the units of the decision variables b. (3 points) Write an objective function and explain its meaning briefly