ehsan asked:


First Question
A factory producing a certain type of electronic component has fix cost of $250 per day and variable cost of 90x , where x is number of components produced per day. they found that the relationship between price P ( dollar per unit) and demand X ( unit per day) was given approximately by p=250-X

i) find the average cost function and profit function
ii)find the marginal average cost function and marginal profit function

Second Question :
A study conducted by mega Byte Ltd estimates that the number of online service subscribes S, will grow at s’(t)=250=200t^2/3 , a rate of new subscribers per month T month from the start date of the service. If 4000 customers signed up for the service initially, how many subscribes will there be 27 month after the start date.

Thanks

Link to Blog: Dating on the Internet