数学问题不会做,请求帮忙,题目如下A local company that rents small moving trucks wants to purchase 25 trucks with capacity of 28,000 cubic feet.Three different types of trucks are avaliable:a 10-foot truck with a capacity of 350 cubic f

数学问题不会做,请求帮忙,题目如下A local company that rents small moving trucks wants to purchase 25 trucks with capacity of 28,000 cubic feet.Three different types of trucks are avaliable:a 10-foot truck with a capacity of 350 cubic f
数学问题不会做,请求帮忙,题目如下
A local company that rents small moving trucks wants to purchase 25 trucks with capacity of 28,000 cubic feet.Three different types of trucks are avaliable:a 10-foot truck with a capacity of 350 cubic feet,a 14-foot truck with capacity of 700 cubic feet, and a 24-foot truck with a capacity of 1400 cubic feet.
(a)Formulate this as a problem of system of linear equations.
(b)Find the number of each type of truck the company should purchase.
(c)Based on your solutions found in part(b), find the largest daily income from truck rentals if the daily rentals for a 10-foot truck, a 14-foot truck and a 24-truck are $2K,$3K and , respectively.
这是中文
一个当地公司租小搬家卡车想购买25部容量28000立方英尺的卡车.以下是三种不同类型的卡车,10英尺容量的350立方英尺的卡车,一个14英尺高容量的700立方英尺的卡车,和一个24英尺容量1400立方英尺的卡车.
(a)制定一个线性方程组的问题.
(b)找到公司应该购买每种类型的卡车的数量.
(c)基于你(b)部分的解答,从卡车租赁如果每日租金为一个10英尺的卡车,14英尺卡车和一个24英尺卡车分别为$ 2 k,$ 3 k和$4K,找到最大的日常收入

数学问题不会做,请求帮忙,题目如下A local company that rents small moving trucks wants to purchase 25 trucks with capacity of 28,000 cubic feet.Three different types of trucks are avaliable:a 10-foot truck with a capacity of 350 cubic f
设购买三种不同类型的卡车数量分别为x, y, z .
1、
则有线性方程组：
x+y+z=25
350x+700y+1400z=28000
x=(0、1、2、、、80)
y=(0、1、2、、、40)
z=(0、1、2、、、20)
2、由于该线性方程组中方程个数少于未知数个数,可知该方程组有多组解
不妨取z为自由解则
方程组的解为：x=4z-30
y=55-5z
又因 x=(0、1、2、、、80)
y=(0、1、2、、、40)
z=(0、1、2、、、20)
所以z=(8、9、10、11) 剩下的明天再搞、、困死了