Question

It costs a bakery $3 to make a cake and $4 to make a pie. Production costs cannot exceed $120 per day. Write the system of inequalities that represents this situation and graph its solution region. Then, choose a point in the solution region as an example of one possible production situations within these restrictions. Submit your inequality, graph, and example to earn full credit.

Answer 1

Let x = number of cakes
Let y = number of pies
The system of inequalities is:
0 <= x <= 40
0 <= y <= 30
3x + 4y <= 120.
The solution region is the triangle in the first quadrant bounded by the x- and
y-axis and the line through the points (0,30) and (40,0).
One solution is 10 cakes and 20 pies. 10*3 + 20*4 = 30 + 80 = 110. 110 is <= 120.