The monthly profit for a company that sells hand-made, carbon-steel woks is given by P = 380x22000 - 1.5x², where P is the profit, in USD, when i woks are sold each month. If the number of woks sold is increasing at a rate of 20 per month, find the rate at dP dx = 20 woks dt dt which the company's profit is changing with respect to time when 180 are sold each month. In other words, find per month and x = 180 woks. dP dt -0 USD per month. if we know that

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The monthly profit for a company that sells hand-made, carbon-steel woks is given by
P = 380x - 22000 - 1.5x²,
where P is the profit, in USD, when x woks are sold each month. If the number of woks sold is increasing at a rate of 20 per month, find the rate at
dP
dx
which the company's profit is changing with respect to time when 180 are sold each month. In other words, find if we know that = 20 woks
dt
per month and x = 180 woks.
dt
dP
dt
-0 USD per month.
Transcribed Image Text:The monthly profit for a company that sells hand-made, carbon-steel woks is given by P = 380x - 22000 - 1.5x², where P is the profit, in USD, when x woks are sold each month. If the number of woks sold is increasing at a rate of 20 per month, find the rate at dP dx which the company's profit is changing with respect to time when 180 are sold each month. In other words, find if we know that = 20 woks dt per month and x = 180 woks. dt dP dt -0 USD per month.
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