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Type your question here A company has a production line of a product, the indust

ID: 3344923 • Letter: T

Question

Type your question here

A company has a production line of a product, the industrial engineers have estimated the changing rate of the product increase by the following equation: dP/dt = 100/5t-4 Where t is the time in days. If you know that the initial production on day 1 was 100 units. Write an equation that gives the production at any time t. The sales manger estimated the demand equation for their product by the equation so find the average price on the interval 40 x 50 The rate of change in sales S is inversely proportional to time t (t > 1) measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 300 units respectively.

Explanation / Answer

Given dp/dt = 100 /(5t-4) this is equal to integral of (100/5t-4) from 1 to t P(t) = 20 log(5t-4) +100 #2) Avg price between 40 k = 100/0.3010 = 332.225 c=100 from the above equations