Managers have been asked to adhere to weekly operating budgets and to develop operating plans using quantitative methods whenever possible. The manager of one department has been given a weekly operating budget of $11,980 for production of three chemical products, which for convenience shall be referred to as Q, R, and W. The budget is intended to pay for direct labor and materials. Processing requirements for the three products, on a per unit basis, are shown in the table. Product Labor (hours) Material A (pounds) Material B (pounds) Q R W 5 4 2 2 2 1/2 2 The company has a contractual obligation for 85 units of product R per week. Material A costs $4 per pound, as does material B. Labor costs $8 an hour. Product Q sells for $122 a unit, product R sells for $115 a unit, and product W sells for $76 a unit. The manager is primarily interested in maximizing contribution. Moreover, the manager wants to know how much labor will be needed, as well as the amount of each material to purchase. Questions: Prepare a report that addresses the following issues: 1. The optimal quantities of products and the necessary quantities of labor and material.