Monsanto sells genetically modified seed to farmers. It needs todecide how much seed to put into a warehouse to serve demand forthe next growing season. It will make one quantity decision. Itcosts Monsanto $8 to make each kilogram (kg) of seed. It sells eachkg for $45. If it has more seed than demanded by the local farmers,the remaining seed is sent overseas. Unfortunately, it only earns$3 per kg from the overseas market (but this is better thandestroying the seed because it cannot be stored until next year).If demand exceeds its quantity, then the sales are lost—the farmersgo to another supplier. As a forecast for demand, it will use anormal distribution with a mean of 300,000 and a standard deviationof 100,000.

Round your answer to 2 digits after the decimal point ifit is not an integer. Do NOT use comma in yournumeric answers.

Monsanto’s maximum profit for this seed is $.

The underage cost is $_______. The overage cost is $_______. Thecritical ratio is _______ . Monsanto should place ________ kg ofseed in the warehouse before the growing season to maximize itsexpected profit. In such case, the expected leftover inventory willbe ________ kg, the expected sales will be _______ kg, the expectedprofit will be $_______