The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is as follows, where P is measured in thousands of dollars, nis measured in thousands of widgets, and the formula is valid up to a level of 8 thousand widgets sold. P=42.1n-0.2² (a) Make a graph of P versus n. 10 ht AN P 15 10 -2 (b) Calculate P(0). P(0) = $1 thousand Explain in practical terms what your answer means. O The company will gain profit if they produce 0 widgets. O The company will gain profit in week 0. The company will lose profit in week 0. O The company will lose profit if they produce 0 widgets. n (c) At what sales level is the profit as large as possible? (Use the graph to find the value. Round your answer to the nearest whole number) n=1 thousand widgets

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