Assignment Bill French

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    Aggregrate A B

    Sales at Full capacity (units) 2000000

    actual sales volume (units) 1500000 600000 400000

    unit sale price($) 1.2 1.67 1.5

    Total sales revenue($) 1800000 999999.96 600000Variable cost per unit($) 0.75 1.25 0.625

    Total variable cost($) 1125000 750000 250000

    Fixed costs($) 520000 170000 275000

    Net profit($) 155000 80000 75000

    Ratios:

    Variable Cost to sales 0.63 0.75000003 0.42

    Variable income to sales 0.37 0.24999997 0.58

    Utilization of capacity(%) 75% 30% 20%

    Contribution Margin 0.45 0.42 0.88

    Break even point 1155556 404762 312500

    Q2 Sales Volume of C increase by 450000 units

    Sales Price of C increase by 100%

    Fixed Cost increases by $ 10000 per month

    A sales becomes 2/3

    a)

    Aggregrate A B

    Sales at Full capacity (units) 2000000actual sales volume (units) 1750000 400000 400000

    unit sale price($) 1.158 1.67 1.5

    Total sales revenue($) 2026667 666667 600000

    Variable cost per unit($) 0.56 1.25 0.625

    Total variable cost($) 987500 500000 250000

    Fixed costs($) 640000 170000 275000

    Net profit($) 399167 -3333 75000

    Ratios:

    Variable Cost to sales 0.49 0.76 0.42

    Variable income to sales 0.51 0.24 0.58

    Utilization of capacity(%) 88% 20% 20%Contribution Margin 0.59 0.42 0.88

    Break even point 1077787.00 408001.00 314286.00

    b) Profit ($) 25000

    Dividends ($) 50000

    Extra Dividends ($) 25000

    Income After Tax ($) 100000

    Product Lines

    Product Lines

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    Selling Price per unit ($) 1.158

    Variable Cost per unit ($) 0.56

    Contribution Margin per unit ($) 0.59

    Income Before Tax ($) 200000

    Total Fixed Cost ($) 840000

    No. of Units to Be produced 1414595

    c)

    Aggregrate A B

    Sales at Full capacity (units) 2000000

    actual sales volume (units) 1750000 400000 400000

    unit sale price($) 1.158 1.67 1.5

    Total sales revenue($) 2026667 666667 600000

    Variable cost per unit($) 0.61 0.264 0.641667

    Total variable cost($) 1072866.67 105600 256666.7

    c) Profit ($) 25000

    Dividends ($) 50000

    Income After Tax ($) 75000

    Selling Price per unit ($) 1.158

    Variable Cost per unit ($) 0.61

    Contribution Margin per unit ($) 0.55

    Income Before Tax ($) 150000

    Total Fixed Cost ($) 790000

    No. of Units to Be produced 1449465

    d) Profit ($) 25000

    Dividends ($) 50000

    Extra Dividends ($) 25000

    Income After Tax ($) 100000

    Selling Price per unit ($) 1.158

    Variable Cost per unit ($) 0.61

    Contribution Margin per unit ($) 0.55

    Income Before Tax ($) 200000

    Total Fixed Cost ($) 840000

    No. of Units to Be produced 1541204

    Q3

    Product Lines

    Yes break even analysis can help in deciding if company should

    alter the existing product emphasis by checking which all

    products are giving least contribution margin to cover their

    fixed cost

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    No. of units produced of C 950000

    Sales Price ($) 0.8

    Sales Revenue ($) 760000

    Variable cost ($) 0.25

    Total Variable Cost ($) 190000

    Contribution Margin ($) 0.55

    Fixed Cost ($) 195000Investment that can be done ($) 375000

    Q4

    The break even analysis helps understand and formulate the

    relationship between costs (fixed and variable), output and

    profit. The technique can be used to set sales targets and/or

    prices to generate target profits. In a wide product range, the

    analysis helps to find out which products are performing well

    and which are leading to losses

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    C

    500000

    0.4

    2000000.25

    125000

    75000

    0

    0.625

    0.38

    25%

    0.15

    500000

    C

    950000

    0.8

    760000

    0.25

    237500

    195000

    327500

    0.32

    0.68

    48%0.55

    354546.00

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    C

    950000

    0.8

    760000

    0.748

    710600