Question

一道微积分的英语题

A construction company has been offered a contract for $7.8 million to construct and operate a trucking route for five years to transport ore from a mine site to a smelter. The smelter is located on a major highway, and the mine is 3 km into a heavily forested area off the road. Construction (capital) costs are estimated as follows:•Repaving the highway will cost $200 000km.•A new gravel road from the mine to the highway will cost $500 000km. Operating conditions are as follows:•There will be 100 round trips each day, for 300 days a year, for each of the five years the mine will be open.•Operating costs on the gravel road will be $65h, and the speed limit will be 40 kmh.•Operating costs on the highway will be $50h, and the speed limit will be 70 kmh. Use calculus to determine if the company should accept the contract. Determine the average speeds of the trucks along the paved and gravel roads that produce optimum conditions (maximum profit). What is the maximum profit?2. Relevant equations profit = revenue minus cost3. The attempt at a solution i know that --> P(x) = R(x) - C(x) and R(x) = xp(x) i hate optimization and i really suck at it. i don't know how to get the equations if i get the equations then i know how to solve it. please help and thanks in advance.

Answer 1

一家建筑公司已经提供了7800000美元的建设和经营一个卡车路线五年的铁矿石矿场输送到冶炼厂合同。冶炼厂坐落在一条主要公路，和我是3公里到茂密的森林地区的道路。建设（资本）的成本估计如下：•铺公路将花费200美元•公里。从矿山到公路新的碎石路将耗资500公里。操作条件如下：•将会有100次一天，一年300天，每五年我将是开放的。•运营成本在碎石路上为65H，和限速是40公里每小时。•经营成本对公路将达到50h，和限速是70公里每小时。用微积分来确定公司是否应该接受合同。确定的卡车的平均速度沿铺碎石道路产生的最佳条件（利润最大化）。利润最大化是什么？2。相关方程式利润=收入减去成本3。一种解决方案的尝试，我知道——> p（x）= R（X）—C（X）和R（x）= XP（x）我恨的优化和我在它真的吸。我不知道如何得到方程，如果我得到方程，然后我知道如何解决它。请帮忙，谢谢。

Answer 2

很多人体会让他就和你突然