Grove Audio is considering the introduction of a new model of wireless speakers with the following price and cost characteristics.

Sales price $ $446\mathrm{.}00$ per unit

Variable costs $206\mathrm{.}00$ per unit

Fixed costs $736,000$ per year

Assume that the projected number of units sold for the year is $4,550.$ Consider requirements $($b$),($c$),$ and $($d$)$ independently of each other.

Required:

a$.)$What will the operating profit be$?$

b$.)$What is the impact on operating profit if the sales price decreases by $20$ percent? Increases by $10$ percent?

c$.)$What is the impact on operating profit if variable costs per unit decrease by $10$ percent? Increase by $20$ percent?

d$.)$Suppose that fixed costs for the year are $20$ percent lower than projected, and variable costs per unit are $10$ percent higher than projected. What impact will these cost changes have on operating profit for the year? Will profit go up$?$ Down? By how much?