A company which rents small moving trucks desires to an inventory of 40 trucks (hint: the 25 trucks will give you equation.) with combined capacity of 42,000 cubic feet. Three different kinds of trucks are available: a 10 ft truck with capacity of 350 cubic feet, a 14 ft truck with capacity of 700 cubic feet and 24 ft truck with the capacity of 1400 cubic feet. How many of each kind of truck should the company purchase? Provide the row reduced matrix and write a sentence interpreting its meaning. List the purchasing options for the company. Please show your work.