Los Lobos Healthcare, a manufacturer of medical equipment and supplies, produces two types of disposable face masks: dust masks and surgical masks. The masks are produced and sold in retail boxes, with each box containing 50 masks. The profits for each box of dust and surgical masks are $22.00 and $25.50, respectively. To manufacture the masks, Los Lobos uses the same synthetic fabric and manufacturing process. Each box of dust masks requires about 60 square feet of the synthetic fabric and 2.1 hours of machine time. Each box of surgical masks requires 78 square feet of the fabric and 3.2 hours of machine time. For each production cycle, Los Lobos Healthcare procures 2,000 square feet of fabric and can operate its machines up to 80 hours. Formulate and solve the IP model to answer the following questions.

a. How many boxes of the dust and surgical masks should Los Lobos Healthcare manufacture? What is the maximum profit the company can generate? Note: Round "maximum profit" to 1 decimal place. b. If Los Lobos Healthcare can increase the synthetic fabric supply to 2,200 square feet for each production cycle, how many boxes of the dust and surgical masks should the company produce? What is the maximum profit the company can generate? Note: Round "maximum profit" to 1 decimal place. c. In addition to the 2,200 square feet of the synthetic fabric in part b, Los Lobos Healthcare will also lease additional equipment to increase the machine time to 90 hours per production cycle. With the added capacity, how many boxes of the dust and surgical masks should the company produce? What is the maximum profit the company can generate? Note: Round "maximum profit" to 1 decimal place