Answer :
Gyona purchases meat from the local supermarket at $5 per kilogram and sells it at $9 per kilogram. Any unsold meat is sold to a nearby Chinese restaurant at $2 per kilogram. Gyona is confident that the demand follows a linear function and is considering hiring an additional worker to help with the increased workload.
Gyona's business seems to be on the right track as she's been able to purchase meat at a low price of $5 per kilogram and sell it at a higher price of $9 per kilogram. She's also able to make some profit from the unsold meat by selling it to the Chinese restaurant for $2 per kilogram. Gyona is confident that the demand for her meat follows a linear function, which means she's confident that the relationship between the price of meat and the demand for meat is a straight line.Gyona is also considering hiring an additional worker to help with the increased workload.
She believes that the demand for meat will increase with the extra help, and so she needs to make a projection of how much meat will be demanded each week. She believes that the demand for meat will increase by 50 kilograms per worker per week. With the current demand of 200 kilograms per week, she'll need to make a projection for a demand of 300 kilograms per week if she decides to hire another worker.Therefore, the projection for a demand of 300 kilograms per week is represented by the linear equation y = mx + c, where y is the demand for meat, m is the slope of the line (which is the increase in demand per worker), x is the number of workers, and c is the y-intercept (which is the demand for meat with no workers).
The slope, m, is given by 50 kilograms per worker per week, and the y-intercept, c, is given by 200 kilograms per week. Therefore, the equation for the projection is y = 50x + 200, where y is the demand for meat and x is the number of workers.Gyona can use this equation to make a projection of the demand for meat with any number of workers. For example, with two workers, the projected demand is y = 50(2) + 200 = 300 kilograms per week. With three workers, the projected demand is y = 50(3) + 200 = 350 kilograms per week.
In conclusion, Gyona's business seems to be doing well, and she's considering hiring an additional worker to help with the increased workload. She believes that the demand for meat follows a linear function, which means she's confident that the relationship between the price of meat and the demand for meat is a straight line. With the current demand of 200 kilograms per week and a price of $9 per kilogram, her revenue is $1800 per week. She can use the linear equation y = 50x + 200 to make a projection of the demand and revenue with any number of workers. With two workers and a demand of 300 kilograms per week, her revenue is $2700 per week. With three workers and a demand of 350 kilograms per week, her revenue is $3150 per week. With four workers and a demand of 400 kilograms per week, her revenue is $3600 per week.
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