A new rideshare company "Sany" has just entered the Boston market. The company offers 2 types of rideshare services, a shared service (called SanyShared) and a non-shared service (called SanyPersonal). In addition, the company also offers a food delivery service, delivering food from merchant restaurants to customers (called SanyFood).

A Sany driver would like your help in figuring out how many of each service he should accept. A SanyShared request takes 30 minutes to complete, and pays $5 flat. A SanyPersonal request takes 40 minutes to complete, and pays $23 flat. A SanyFood request takes 20 minutes to complete, and pays you $14.

Suppose that Sany has imposed a restriction on the number of requests each driver can take to protect other drivers using the platform. The number of requests a driver accepts for any service should be an integer number. The maximum number of requests a driver can take in one day is 20. Additionally, a driver can only work for a total of 8 hours in the day due to a state employment law. Formulate a linear program objective function that maximizes earnings.

What is the maximum amount of revenue the driver can generate in one day?

Round your answer to the nearest integer.

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Question 2

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Given the success of the Sany brand in Boston, the company has also launched a package pickup-dropoff service called SanyCourier. Each SanyCourier request takes 20 minutes to complete, and pays $16 per request. Given this new type of request, reformulate your optimization model to account for this. Assume same constraints as in Question 1.

What is the maximum amount of revenue the driver can generate in one day?

Round your answer to the nearest integer.

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Question 3

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Sany has now informed their drivers that there will be a fixed revenue incentive for each of the streams (Shared, Personal, Food, and Courier) - a driver will receive the incentive as long as he takes at least one request in the relevant category. The incentive is $20 for Shared, $25 for Personal, $10 for Food, and $30 for Courier.

What is the new maximum possible revenue in a day for the driver? Assume same constraints as in Question 1.

Round your answer to the nearest integer.

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Question 4

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Sany realized that some drivers were accepting only one request per day in some of the streams in order to get the fixed revenue incentive. To avoid this, the company has limited the number of streams to two. In other words, a driver can accept requests from only two services (Shared, Personal, Food, and Courier) on a daily basis and get the fixed revenue incentive.

What is the maximum possible revenue in a day for the driver? Assume same constraints as in Question 1.

Round your answer to the nearest integer.

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