A company manufactures two products: large fans and medium fans. Each large fan requires 3 hours of wiring and 2 hours of drilling. Each medium fan requires 2 hours of wiring and 1 hour of drilling. There are 960 hours of wiring time available and 560 hours of drilling time available. Each large fan yields a profit of $28. Each medium fan yields a profit of $20. The company wants to manufacture 320 or fewer medium fans. Required:
a. Formulate a linear programming model for this problem by defining the decision variables, objective function and all the constraints. What do they represent?
b. Find the optimal solution of this model by hand using the Corner Points graphical method.

Jurvin enterprises is a manufacturing company that had no beginning inventories. a subset of the transactions that it recorded during a recent month is shown below. $76,700 in raw materials were purchased for cash. $71,400 in raw materials were used in production. of this amount, $66,300 was for direct materials and the remainder was for indirect materials. total labor wages of $151,700 were incurred and paid. of this amount, $134,300 was for direct labor and the remainder was for indirect labor. additional manufacturing overhead costs of $126,300 were incurred and paid. manufacturing overhead of $126,800 was applied to production using the company's predetermined overhead rate. all of the jobs in process at the end of the month were completed. all of the completed jobs were shipped to customers. any underapplied or overapplied overhead for the period was closed to cost of goods sold.required: 1. post the above transactions to t-accounts.2. determine the cost of goods sold for the period.

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?