Question

求解数学题！！！高分！！！！急！！！请尽量于周四前做好！！！

A contractor is planning a new housing development consisting of colonial, split-level, and ranch-style houses. A colonial house requires 1/2 acre of land, $60,000 capital, and 4,000 labor- hours to constract, and returns a profit of $20,000. A split-level house requires 1/2 acre of land, $60,000 capital, and 3,000 labor-hours to constract, and returns a profit of $18,000. A ranch house requires 1 acre of land, $80,000 capital, and 4,000 labor-hours to constract, and returns a profit of $24,000. The contractor has 30 acres of land, $3,200,000 capital, and 180,000 labor- hours available. How many houses of each type should be constructed to maximize the contractor’s profit? What is the maximum profit? Set up the objective function and constraints, and use Simplex Method to solve. Show all of the work to get full credit.

Answer 1

Dim colonial house as x split-level as y and ranch-style as z
1/2x+1/2y+z=30
60000x+60000y+80000z=320000
4000x+3000y+4000z=180000

x=20
y=20
z=10

profit=20*20,000+20*18,000+10*24,000=1000000$
翻成中文就是 设 三种房子分别有 x y z座
最后总收入1000000美元

Answer 2

我草 你这是数学题还是英语题！

Answer 3

英文看的好头疼……囧

Answer 4

这是数学题目吗