$[$The following information applies to the questions displayed below.$]$

Ferry Electronics produces a wide variety of video and audio systems for home entertainment. One of the Ferry plants

$($Lakeview$)$ produces home theatre systems. The plant produces three models, Silver, Gold, and Platinum, which differ in

the quality of the components and capability to "fill" the room with sound.

The financial team at Ferry is completing the planning for the coming quarter. Information on volumes and costs expected

for the quarter follow:

The team has been discussing two issues. First, there is disagreement about how best to allocate the manufacturing

overhead among the products. The current cost accounting system allocates manufacturing overhead to products based

on expected unit sales. $($Because Ferry carries no inventory, unit sales are equal to units produced.$)$ Second, there is a

concern about a "softening" in the demand for these systems and the managers at Ferry want to get a better

understanding of possible financial implications if demand should be weaker than expected.

c$.$ Consider the requirement independent from requirement a and $b.$ Using the per unit product line unit profits calculated in

requirement $($a$),$ compute the total profits for each of the products at the volumes calculated in requirement $b.$

Note: Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to $2$

decimal places.