[考古] 政大企管93考古題
大概懂題意 但是不知怎麼用微積分思考 幫忙一下了
1.A toy manufacturer estimates the demand for a game to be 2000 per year.
Each game cost$3 to manufacture,plus setup costs of $500 for each production
run. If a game can be stores for a year for cost of $2, how many should be
manufactured at a time and how many production runs should be minimize costs?
2.An oil well generates a continuous stream of income of 60t thousand dollars
per year, where t is the number of years that the rig has been in operation
. Find the present value of this stream of income over the first 20 years at
a continuous interest rate of 5%.
3.A company manufactures two products, in quantities x and y. Because of
limited materials and capital, the quantities produced must satisfy the
constraint 2x^2+5y^2<=32500. If the company's profit function is p(x,y)=4x+5y
dollars.
a. How many of each product should be made to maximize Profit? Also find the
maximum profit.
b. If the material and capital have chance to increase, which means the
production constraint may change to 2x^2+5y^2<=(32500+h),estimate every unit
change of h will result how many profit
拜託各位了 實在是不習慣這種應用題
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.115.17.82