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1. (25 Points) A toy factory can produce up to 300 toy sets per day. The revenue from the sale of these toy sets can
1. (25 Points) A toy factory can produce up to 300 toy sets per day. The revenue from the sale of these toy sets can be modeled by the function R(x)=10x2+3500x66,000, where R(x) is the revenue in dollars and x is the number of toy sets manufactured and sold. Based on this model: a. Find the y-intercept and explain its significance in this scenario. b. Determine the x-intercepts and explain their importance in this context. c. How many toy sets should be produced and sold to achieve maximum revenue? d. What is the highest possible revenue?
1. (25 Points) A toy factory can produce up to 300 toy sets per day. The revenue from the sale of these toy sets can be modeled by the function R(x)=10x2+3500x66,000, where R(x) is the revenue in dollars and x is the number of toy sets manufactured and sold. Based on this model:
a. Find the y-intercept and explain its significance in this scenario.
b. Determine the x-intercepts and explain their importance in this context.
c. How many toy sets should be produced and sold to achieve maximum revenue? d. What is the highest possible revenue?
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