Consider the relation between quantity of chicken and quantity of steak if chicken costs $1.27/lb and steak costs $3.47/lb, and you have $90 to spend on a barbecue.

(a) Write a constraint equation.

Let c be the number of pounds of chicken you buy and s the number of pounds of steak you buy.

(b) Select each solution that satisfies the constraint equation from part (a). Note that the solutions below are in the order (c,s) and some of the solutions have been rounded.

(11.3,21.8)

(21.8,40)

(40,21.8)

(11.3,40)

(40,11.3)

(c) Plot the two points you found in part (b) on the constraint equation, as well as the c- and s-intercepts.

Plot c on the horizontal axis.