Sam has $400 a month to spend on either tanning sessions or rounds of golf.Tanning sessions are $20 each,and a round of golf is $50.A point on Sam's budget constraint would be:
A)20 tanning sessions and 8 rounds of golf.
B)10 tanning sessions and 5 rounds of golf.
C)10 tanning sessions and 4 rounds of golf.
D)10 tanning sessions and 2 rounds of golf.

Question

Quizplus · Accepted Answer

Let x be the number of tanning sessions and y be the number of rounds of golf.

Then the budget constraint can be expressed as:
20x + 50y = 400

Simplifying this equation, we get:
2x + 5y = 40

We need to find a point on this line that represents a combination of tanning sessions and rounds of golf that Sam can afford. We can start by using the intercepts:
When x = 0 (no tanning sessions), y = 8 (8 rounds of golf)
When y = 0 (no rounds of golf), x = 20 (20 tanning sessions)

So, the feasible options are: 
20 tanning sessions and 0 rounds of golf
10 tanning sessions and 4 rounds of golf
0 tanning sessions and 8 rounds of golf

Out of these three options, the best choice is 10 tanning sessions and 4 rounds of golf, as it uses the entire budget and has a better balance between the two activities.

Sam Has $400 a Month to Spend on Either Tanning