Final answer:
The budget for the assortment is $5,000. The number of pants purchased for each size and color are 60 Medium, 212 Large, and 120 X-Large.
Step-by-step explanation:
To calculate the budget for your assortment, you need to multiply the number of pants you want to purchase by the cost of each pant. In this case, you want to purchase 400 pants at a cost of $12.50 each:
Estimated budget = Number of pants x Cost per pant
Estimated budget = 400 x $12.50
Estimated budget = $5,000
To calculate the number of pants you will purchase for each size and color, you need to multiply the percentage distribution of each size and color by the total number of pants and round it to the nearest whole number. Here are the calculations:
Number of Medium pants = 15% of 400 = 0.15 x 400 = 60
Number of Large pants = 53% of 400 = 0.53 x 400 = 212
Number of X-Large pants = 30% of 400 = 0.30 x 400 = 120
Based on the information given, the budget for this assortment is $5,000. You will purchase 60 Medium pants, 212 Large pants, and 120 X-Large pants.