Tents L.L. Bean makes three sizes of Ultra Dome tents: two-person, four-person, and six-person models, which cost $1.29, $179, and $229, respectively. A two-person tent provides 40 ft2 of floor space, while four-person and six-person models provide 64 ft2 and 88 ft2 of floor space, respectively. A recent order by an organization that takes children camping ordered enough tents to hold 200 people and provide 3200 ft2 of floor space. The total cost was $8950, and we wish to know how many tents of each size were ordered. Source: L. L. Bean.
(a) How many solutions are I he re to this problem?
(b) What is the solution with the most four-person tents?
(c) What is the solution with the most two-person tents?
(d) Discuss the company's pricing strategy that led to a system of equations that is dependent. Do you think that this is a coincidence or an example of logical thinking?
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