7. An epidemic is spreading at the rate of new cases per day, where t is the number of days since the epidemic began. Find the total number of new cases in the first 10 days of the epidemic.

9. A company’s output is given by the Cobb-Douglas production function , where L and K are the numbers of units of labor and capital. Each unit of labor costs $50 and each unit of capital costs $60, and $1500 is available to pay for labor and capital. How many units of labor and of capital should be used to maximize production?

7. An epidemic is spreading at the rate of new cases per day, where t is the number of days since the epidemic began. Find the total number of new cases in the first 10 days of the epidemic.

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