Formulate but do not solve the problem.

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (including seeds and labor) is$42and$30per acre, respectively. Jacob Johnson has$16,800available for cultivating these crops. If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant? (Letxandydenote the number of acres of corn and wheat, respectively.)

= 500

=16,800

Formulate but do not solve the problem.

Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting ofxone-bedroom units,ytwo-bedroom townhouses, andzthree-bedroom townhouses. A total of192units are planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be3times the number of three-bedroom units, find how many units of each type will be in the complex.

=192

=y+z

=3z