There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional...

   

Transcribed Image Text:

There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the output per tree drops by 10 apples. How many trees should be added to the existing orchard in order to maximize the total output of apples? 4. To help with the cost of upkeep of Washington State Parks, the state sells Discover Passes at $30 for a yearly pass. In a recent fiscal year, that created 16.8 million dollars in revenue as 560,000 passes were purchased. That still wasn't enough revenue, so the state is considering raising the price of the Discover Pass. Analysts assume that for every $10 increase in price. 100.000 less passes will be purchased. a. Define the function that models the total revenue to the state as a function of x, the number of $10 price increases. b. If prices may increase by any whole dollar amount, (not just by tens), find the pass price that will maximize the revenue. Round to the nearest dollar. There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the output per tree drops by 10 apples. How many trees should be added to the existing orchard in order to maximize the total output of apples? 4. To help with the cost of upkeep of Washington State Parks, the state sells Discover Passes at $30 for a yearly pass. In a recent fiscal year, that created 16.8 million dollars in revenue as 560,000 passes were purchased. That still wasn't enough revenue, so the state is considering raising the price of the Discover Pass. Analysts assume that for every $10 increase in price. 100.000 less passes will be purchased. a. Define the function that models the total revenue to the state as a function of x, the number of $10 price increases. b. If prices may increase by any whole dollar amount, (not just by tens), find the pass price that will maximize the revenue. Round to the nearest dollar.