Break$-$even sales

The Boston Beer Company Inc. $($SAM$)$ produces Samuel Adams beer and other alcoholic beverages. Boston Beer reported the following operating information for a recent year $($in thousands$)$:

Sales $$2,784,000$

Cost of goods sold

$$696,000$

Selling, general, and administrative expenses

Operating income

$522,000(1,218,000)$

$$1,566,{000}_{?}^{**}$

$*$Before special items

In addition, assume that Boston Beer sold $29,000$ thousand barrels of beer during the year. Assume that variable costs were $75\%$ of the cost of goods sold and $50\%$ of selling, general, and administrative expenses. Assume that the remaining costs are fixed. For the following year, assume that Boston Beer expects pricing, variable costs per barrel, and fixed costs to remain constant, except that new distribution and general office facilities are expected to increase fixed costs by $$13\mathrm{.}10$ million.

a$.$ Compute the break$-$even number of barrels for the current year. Round to the nearest thousand of barrels.

$x$ thousand barrels

b$.$ Compute the anticipated break$-$even number of barrels for the following year. Round to the nearest thousand of barrels. thousand barre