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 balance sheet for the los gatos corporation was prepared by a recently hired accountant. in reviewing the statement you notice several errors. los gatos corporation balance sheet at december 31, 2018 assets cash $ 44,000 accounts receivable 86,000 inventories 57,000 machinery (net) 122,000 franchise (net) 32,000 total assets $ 341,000 liabilities and shareholders' equity accounts payable $ 54,000 allowance for uncollectible accounts 7,000 note payable 59,000 bonds payable 112,000 shareholders' equity 109,000 total liabilities and shareholders' equity $ 341,000 additional information: cash includes a $22,000 restricted amount to be used for repayment of the bonds payable in 2022. the cost of the machinery is $194,000. accounts receivable includes a $22,000 note receivable from a customer due in 2021. the note payable includes accrued interest of $7,000. principal and interest are both due on february 1, 2019. the company began operations in 2013. income less dividends since inception of the company totals $37,000. 52,000 shares of no par common stock were issued in 2013. 200,000 shares are authorized. required: prepare a corrected, classified balance sheet. (amounts to be deducted should be indicated by a minus sign.)

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

Explain the relationship between consumers and producers in economic growth and activity