The optimal solution to a linear programming model that has been solved using the graphical approach:. a. is typically located at the origin.
b. must be below and on the left side of all constraint lines.
c. must be above and the the right of all constraint lines.
d. is typically at some corner of the feasible region.

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?

This exercise illustrates that poor quality can affect schedules and costs. a manufacturing process has 130 customer orders to fill. each order requires one component part that is purchased from a supplier. however, typically, 3% of the components are identified as defective, and the components can be assumed to be independent. (a) if the manufacturer stocks 130 components, what is the probability that the 130 orders can be filled without reordering components? (b) if the manufacturer stocks 132 components, what is the probability that the 130 orders can be filled without reordering components? (c) if the manufacturer stocks 135 components, what is the probability that the 130 orders can be filled without reordering components?

Colter steel has $5,550,000 in assets. temporary current assets $ 3,100,000 permanent current assets 1,605,000 fixed assets 845,000 total assets $ 5,550,000 assume the term structure of interest rates becomes inverted, with short-term rates going to 10 percent and long-term rates 2 percentage points lower than short-term rates. earnings before interest and taxes are $1,170,000. the tax rate is 40 percent earnings after taxes = ?