The total weekly revenue (in dollars) of Country Workshop associated with manufacturing and selling their rolltop desks is given by the function where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.Compute and when x = 200 and y = 180.Interpret your results.
A)$36/unit; $24/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue increases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200.
B)- $380/unit; - $20/unit The weekly revenue decreases by $380/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $20/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200.
C)$36/unit; - $24/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200.
D)$24/unit; $36/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200.

Question

The total weekly revenue (in dollars) of Country Workshop associated with manufacturing and selling their rolltop desks is given by the function  where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.Compute  and  when x = 200 and y = 180.Interpret your results.
A)$36/unit; $24/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue increases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200. 
B)- $380/unit; - $20/unit The weekly revenue decreases by $380/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $20/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200. 
C)$36/unit; - $24/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200. 
D)$24/unit; $36/unit The weekly revenue increases by $36/unit for each additional finished desk produced (beyond 200) when the level of production of unfinished desks remains fixed at 180; the revenue decreases by $24/unit when each additional unfinished desk (beyond 180) is produced and the level of production of finished desks remains fixed at 200.

Quizplus · Accepted Answer

To calculate the partial derivative with respect to x (number of finished units):
- Keep y (number of unfinished units) fixed at 180
- Take the derivative of the function with respect to x
11eb12b0_a93a_0d2e_b394_5b63f2dfb2c0_TB7866_11 = 36x + 24y
∂11eb12b0_a93a_0d2e_b394_5b63f2dfb2c0_TB7866_11/∂x = 36
- This means that for each additional finished unit produced (beyond 200), the weekly revenue increases by $36.

To calculate the partial derivative with respect to y (number of unfinished units):
- Keep x (number of finished units) fixed at 200
- Take the derivative of the function with respect to y
11eb12b0_a93a_0d2e_b394_5b63f2dfb2c0_TB7866_11 = 36x + 24y
∂11eb12b0_a93a_0d2e_b394_5b63f2dfb2c0_TB7866_11/∂y = 24
- This means that for each additional unfinished unit produced (beyond 180), the weekly revenue decreases by $24.

The Total Weekly Revenue (In Dollars) of Country Workshop Associated