英文的函数题A vendor can sell 500 souvenirs per day at a price of $3.00 each.Each increase of 30¢ in price decreases the number of sales by 25 per day.Souvenirs cost the vendor $1.60 each.What price should be charged to maximize profit?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 00:53:21
![英文的函数题A vendor can sell 500 souvenirs per day at a price of $3.00 each.Each increase of 30¢ in price decreases the number of sales by 25 per day.Souvenirs cost the vendor $1.60 each.What price should be charged to maximize profit?](/uploads/image/z/12957793-25-3.jpg?t=%E8%8B%B1%E6%96%87%E7%9A%84%E5%87%BD%E6%95%B0%E9%A2%98A+vendor+can+sell+500+souvenirs+per+day+at+a+price+of+%243.00+each.Each+increase+of+30%26cent%3B+in+price+decreases+the+number+of+sales+by+25+per+day.Souvenirs+cost+the+vendor+%241.60+each.What+price+should+be+charged+to+maximize+profit%3F)
英文的函数题A vendor can sell 500 souvenirs per day at a price of $3.00 each.Each increase of 30¢ in price decreases the number of sales by 25 per day.Souvenirs cost the vendor $1.60 each.What price should be charged to maximize profit?
英文的函数题
A vendor can sell 500 souvenirs per day at a price of $3.00 each.Each increase of 30¢ in price decreases the number of sales by 25 per day.Souvenirs cost the vendor $1.60 each.What price should be charged to maximize profit?
英文的函数题A vendor can sell 500 souvenirs per day at a price of $3.00 each.Each increase of 30¢ in price decreases the number of sales by 25 per day.Souvenirs cost the vendor $1.60 each.What price should be charged to maximize profit?
y=(x-1.6)(500-25(x-3))
=(x-1.6)(575-25x)
=-25x²+615x-920
∴x=12.3时,利润最大