A retail store in Des Moines, Iowa, receives shipments of a particular product from Kansas City and Minneapolis. Let x= number of units of the product received from Kansas City
y= number of units of the product received from Minneapolis

a. Write an expression for the total number of units of the product received by the retail store in Des Moines.
b. Shipments from Kansas city cost $0.20 per unit and shipments from Minneapolis cost $0.25 per unit. Develop an objective function representing the total cost of shipments to Des Moines.
c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Des Moines.
d. No more than 4000 units can be shipped from Kansas City and no more than 3000 units can be shipped from Minneapolis in a month. Develop the constraints.
e. State the mathematical model for satisfying the demand at the Des Moines retail store at minimum cost.

The following cost data relate to the manufacturing activities of chang company during the just completed year: manufacturing overhead costs incurred: indirect materials $ 15,800 indirect labor 138,000 property taxes, factory 8,800 utilities, factory 78,000 depreciation, factory 150,600 insurance, factory 10,800 total actual manufacturing overhead costs incurred $ 402,000 other costs incurred: purchases of raw materials (both direct and indirect) $ 408,000 direct labor cost $ 68,000 inventories: raw materials, beginning $ 20,800 raw materials, ending $ 30,800 work in process, beginning $ 40,800 work in process, ending $ 70,800 the company uses a predetermined overhead rate of $20 per machine-hour to apply overhead cost to jobs. a total of 20,500 machine-hours were used during the year. required: 1. compute the amount of underapplied or overapplied overhead cost for the year. 2. prepare a schedule of cost of goods manufactured for the year.

Quantitative problem: you need $20,000 to purchase a used car. your wealthy uncle is willing to lend you the money as an amortized loan. he would like you to make annual payments for 4 years, with the first payment to be made one year from today. he requires a 8% annual return. what will be your annual loan payments? round your answer to the nearest cent. do not round intermediate calculations. $ how much of your first payment will be applied to interest and to principal repayment? round your answer to the nearest cent. do not round intermediate calculations. interest: $ principal repayment

What resourse is both renewable and inexpensive? gold coal lumber mineral