### Find the profit-maximizing number of separate labs

##### Reference no: EM131112257

Moli Labs Inc. is developing medical research on a certain anti-laziness pill. It is estimated that the lifetime value of the patent on this pill would be V = \$1024 (in millions). The company can invest in many separate identical labs. Each lab costs \$16 million to operate, and each has a probability = 0:5 of discovery. Find the profit-maximizing number of separate labs that the company should be investing in. Prove your result.

#### Explaining trade between developed-developing countries

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