James consumes pizzas, denoted by x, and sodas, denoted by y. The prices are px=3 and py=2, respectively. Jame's income for the semester is $100. Can Jame's afford to buy 25 slices of pizza and 10 sodas this semester?

Given

Pizza is denoted by x

Soda is denoted by y

Px=$3

Py=$2

Qx=25

Qx=10

Budget constraints

PxQx+PyQy

(3*25) + (2*10)

$75+$20

=$95

Total expenditure = $95

Surplus of $100-$95 = $5

James can afford to buy 25 quantities of pizza at $3 each and 10 quantities of soda at $2 each this semester and still have a remainder of $5

Since the total cost of 25 slices of pizza and 10 sodas is $95, James can afford to buy 25 slices of pizza and 10 sodas from his $100 income

Explanation:

In determining whether James can afford to buy 25 slices of pizza and 10 sodas this semester, we calculate the cost of 25 slices of pizza and 10 sodas based on the current of price of $3 per slice of pizza and $2 per soda.

The total cost is then compared with Jame's income of $100, with the assumption that he would spend the entire amount in purchasing pizzas and sodas.

Expected total cost=$3*25+$2*10

Expected total cost=$95