A manufacturer’s marginal cost (MC) function is given by: MC = 1000 √3?+12 Find the equation of the total cost function if total costs are 5200 when ? = 8. b) A population of size ? is decreasing according to the law ?? = −? ?? 250 where ? denotes the time in days. If initially the population is of size ?0 (that is, when ? = 0, ? = ?0) find how long it takes for the size of the population to be halved.

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