1. Using Expedia, the prices for a one-way flight from Chicago

1. Using Expedia, the prices for a one-way flight from Chicago to various other cities were

recorded. The following table gives the distances from Chicago to 14 selected cities, along with

airfare to each of these cities. Use Python to graph the data and find the least squares line. Then

use the equation to determine the marginal cost and predict the cost of a flight to a city that is

1500 miles from Chicago.

2. Large shipments from distribution centers in Indianapolis and St. Louis went to Dallas and Salt

Lake City. Indianapolis sent 28 train cars with supplies and St. Louis sent 8. Dallas received 20

train cars with supplies and Salt Lake City received 16. Shipping costs $220 from Indianapolis to

Dallas, $300 from Indianapolis to Salt Lake City, $400 from St. Louis to Dallas, and $180 from St.

Louis to Salt Lake City. $8240 was spent. How many train cars went from each distribution

center to each city?

3. A Popsicle company makes three flavors of popsicles. Popsicle A requires 3 oz. of orange

flavoring, 2 oz. of mango flavoring, and 1 oz. of peach flavoring. Popsicle B requires 3 oz. of

orange flavoring, 1 oz. of mango flavoring, and 2 oz. of peach flavoring. Popsicle C requires 2 oz.

of orange flavoring, 1 oz. of mango flavoring, and 2 oz. of peach flavoring. Us Python to

determine how many of each Popsicle can be made with 915 oz. of orange flavoring, 465 oz. of

mango flavoring, and 525 oz. of peach flavoring?

4. The graph below represents the feasible region for maximizing