微积分应用A retailer notes that for a certain brand of dishwashing liquid,when the price is RM10,the quantity sold per month is 700 and when the price is RM12,the quantity sold per month is 500.If the relationship between price and quantity sold

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微积分应用A retailer notes that for a certain brand of dishwashing liquid,when the price is RM10,the quantity sold per month is 700 and when the price is RM12,the quantity sold per month is 500.If the relationship between price and quantity sold
微积分应用
A retailer notes that for a certain brand of dishwashing liquid,when the price is RM10,the quantity sold per month is 700 and when the price is RM12,the quantity sold per month is 500.If the relationship between price and quantity sold is linear,find the price when the revenue at its maximum.
RM是货币计量单位，同中国的“元”。

微积分应用A retailer notes that for a certain brand of dishwashing liquid,when the price is RM10,the quantity sold per month is 700 and when the price is RM12,the quantity sold per month is 500.If the relationship between price and quantity sold
记销售量为Q,销售价格为s,由题意,设Q=a*s+b
因为s=10,Q=700; s=12,Q=500
代入解得a=-100,b=1700
即Q=-100*s+1700
revenue=Q*s=(-100*s+1700)*s=-100*(s-8,5)^2+7225
所以当s=RM8,5时,
the revenue reach its maximum 7225

微积分是研究函数的微分、积分以及有关概念和应用的数学分支。微积分是建立在实数、函数和极限的基础上的。极限和微积分的概念可以追溯到古代。到了十七

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