Examkin

Soru

Zorluk: OrtaWeighted Average and Combined Sets

A real estate developer purchased two tracts of land. Tract 1 consists of 1515 acres purchased at an average cost of $24,000\$24,000 per acre. Tract 2 consists of 3535 acres purchased at an average cost of $40,000\$40,000 per acre. What is the average cost per acre, in thousands of dollars, for the combined land purchase?

Cevap: 35.2 thousand dollars

Cevap

The average cost per acre for the combined land purchase is 35.235.2 thousand dollars (or $35,200\$35,200).
The overall weighted average is calculated by dividing the sum of all individual costs by the total number of acres across both tracts. Since 1515 acres cost $24,000\$24,000 per acre and 3535 acres cost $40,000\$40,000 per acre, the total cost is 15(24,000)+35(40,000)=360,000+1,400,000=1,760,00015(24,000) + 35(40,000) = 360,000 + 1,400,000 = 1,760,000 dollars. Dividing by the total of 5050 acres yields $35,200\$35,200 per acre, or 35.235.2 thousand dollars.

Adım Adım Çözüm

1
Determine the total financial expenditure for each tract
Tract 1 cost = 15×24,000=$360,00015 \times 24,000 = \$360,000; Tract 2 cost = 35×40,000=$1,400,00035 \times 40,000 = \$1,400,000
Total value of a set equals the number of items multiplied by the mean of the items.
2
Calculate total combined cost and total combined acreage
Total cost = $360,000+$1,400,000=$1,760,000\$360,000 + \$1,400,000 = \$1,760,000; Total acres = 15+35=5015 + 35 = 50
Combined sets require summing all total values and all individual counts.
3
Compute the weighted average cost per acre
Weighted Mean = 1,760,00050=35,200\frac{1,760,000}{50} = 35,200 dollars, which is 35.235.2 thousand dollars.
Divide total combined cost by total combined number of units.

Anahtar Kavram

Weighted Average of Combined Sets
Bu soruyu puanla

Konular

Weighted Average and Combined Sets

Bu konudan daha fazla soru