Consider the following shortest-route problem involving seven cities. The distances between the cities are given below in miles. Path Distance
1 to 2 6
1 to 3 10
1 to 4 7
2 to 3 4
2 to 5 5
3 to 4 5
3 to 5 2
3 to 6 4
4 to 6 8
5 to 7 7
6 to 7 5

Required:
Draw the network model for this problem and formulate the LP for finding the shortest route

Investment x offers to pay you $5,700 per year for 9 years, whereas investment y offers to pay you $8,300 per year for 5 years. if the discount rate is 6 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y $ if the discount rate is 16 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y

Camilo is a self-employed roofer. he reported a profit of $30,000 on his schedule c. he had other taxable income of $5,000. he paid $3,000 for hospitalization insurance. his self-employment tax was $4,656. he paid his former wife $4,000 in court-ordered alimony and $4,000 in child support. what is the amount camilo can deduct in arriving at adjusted gross income (agi)?

Atoy store has a new game in stock, but customers aren't buying it. which of the following types of inventory increases when customers aren't buying this game? a. work-in-process b. raw materials c. finished goods d. in-transit