Weekly production schedules are needed for the manufacture of two products X and Y. Each unit of X uses one component made in the factory, while each unit of Y uses two of the components, and the factory has a maximum output of 80 components a week. Each unit of X and Y requires 10 hours of subcontracted work and agreements have been signed with subcontractors for a minimum weekly usage of 200 hours and a maximum weekly usage of 600 hours. The marketing department says that all production of Y can be sold but there is a maximum demand of 50 units of X, despite a long-term contract to supply 10 units of X to one customer. The net profit on each unit of X and Y is $200 and $300 respectively. Formulate a linear programming model for this problem first and then solve this model by using graphical method.

During the year, the delph company had no beginning or ending inventories and it started, completed, and sold only two jobs—job d-75 and job c-100. it provided the following information related to those two jobs: job d-75: molding fabrication total direct materials cost $ 375,000 $ 325,000 $ 700,000 direct labor cost $ 200,000 $ 160,000 $ 360,000 machine-hours 15,000 5,000 20,000 job c-100: molding fabrication total direct materials cost $ 300,000 $ 250,000 $ 550,000 direct labor cost $ 175,000 $ 225,000 $ 400,000 machine-hours 5,000 25,000 30,000delph had no overapplied or underapplied manufacturing overhead during the year. assume delph uses a plantwide overhead rate based on machine-hours.1-a. compute the predetermined plantwide overhead rate.1-b. compute the total manufacturing costs assigned to job d-70 and job c-200.1-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 1-d. what is delph's cost of goods sold for the year? assume delph uses departmental overhead rates based on machine-hours.2-a. compute the predetermined departmental overhead rates.2-b. compute the total manufacturing costs assigned to job d-70 and job c-200.2-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 2-d. what is delph's cost of goods sold for the year?