Question

Multiple-Product Analysis, Changes in Sales Mix, Sales to Earn Target Operating Income

    Basu Company produces two types of sleds for playing in the snow: basic sled and aerosled. The projected income for the coming year, segmented by product line, follows:

    An account shows the following information for Basic Sled, Aerosled and Total: Sales $3,000,000 $2,400,000, $5,400,000, Total variable cost 1,000,000 1,000,000 2,000,000, Contribution margin $2,000,000 $1,400,000 $3,400,000 Direct fixed cost 778,000 650,000 1,428,000, Product margin $1,222,000 $ 750,000 $1,972,000, Common fixed cost 198,900, Operating income $1,773,100

    The selling prices are $30 for the basic sled and $60 for the aerosled. (Round break-even packages and break-even units to the nearest whole unit.)

    Required:

  1. Compute the number of units of each product that must be sold for Basu to break even.

  2. Assume that the marketing manager changes the sales mix of the two products so that the ratio is five basic sleds to three aerosleds. Repeat Requirement 1.

    Answer

    Check Figure: Break-even basic sleds = 39,680

  3. Conceptual Connection Refer to the original data. Suppose that Basu can increase the sales of aerosleds with increased advertising. The extra advertising would cost an additional $195,000, and some of the potential purchasers of basic sleds would switch to aerosleds. In total, sales of aerosleds would increase by 12,000 units, and sales of basic sleds would decrease by 5,000 units. Would Basu be better off with this strategy?

    Answer

    Check Figure: Increase in total contribution margin = $320,000


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