Suppose there are the following one-way shipping lanes from the following cities to the following cities, with the specified maximum capacities of tons of tomatoes per year: From To Capacity
Athens Baltimore 5:1
Athens Cairo 7:2
Cairo Baltimore 2:1
Baltimore Delhi 5:9
Cairo El Paso 3:1
Delhi El Paso 2:9
Delhi Frankfurt 4:0
El Paso Franfurt 10:5

Consider the problem of nding how many tons of (nonperishable) tomatoes should be sent yearly along each of these dierent shipping lanes to maximize the the number of tomatoes delivered from Athens to Frankfurt (assuming that tomatoes are grown in Athens and eaten in Frankfurt, and are neither created nor destroyed in any of the other cities). Express this problem as a linear programming problem in standard form. For a little extra credit, find a solution to this problem in an ad-hoc way, but Demonstrate that your solution is indeed optimal.

Two customers went to a post office. first customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 15 envelopes. what is cost of each envelope?

Find the number of liters in 12.8 gal of gasoline. round to the nearest hundredths

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.