Final answer:
José has a budget constraint of 8x^1 + 6x^2 ≤ 100, where x^1 represents the quantity of T-shirts and x^2 represents the quantity of movies. By plotting this constraint on a graph, we can determine the feasible combinations of T-shirts and movies that José can afford.
Step-by-step explanation:
The subject of this question is Mathematics, and the grade level is High School.
José has a budget constraint of 8x1 + 6x2 ≤ 100, where x1 represents the quantity of T-shirts and x2 represents the quantity of movies. To solve this constraint, we need to find the feasible combinations of T-shirts and movies that satisfy the budget constraint. We can plot this on a graph, with T-shirts on the horizontal axis and movies on the vertical axis.
The slope of the budget constraint line is -8/6, which simplifies to -4/3. The intercepts of the line are (4, 0) and (0, 16/3). By drawing the line and shading the feasible region, we can determine the possible combinations of T-shirts and movies that José can afford.