We have a factory and we are planning how many items produce in 2014. During the learning process we minimize the mean squared error. But, under-estimations costs us more than over-estimations. Let's say we estimated and produced $p$ items, but we have to sell $d$ items.
- In case of $p > d$, getting rid of 1 surplussed item costs us 30\$.
- In case of $p < d$, buying 1 item (from friendly factory) costs us 200\$.
Can this additional data can be used to formulate better objective function? If yes, what it will be?