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  1. #1
    8Prodigy8
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    Math Help

    I am a college student and we were assigned an assignment which is due on the 28th of November. I was away for about 2 weeks (due to an accident which my professors don't seem to care about) and I come back only to find out we have an assignement due with 50 questions (the next day). My professors won't give me an extension so I did my best. However, I am stuck on the following, if you know how to do any of them please help me (they need to have full solutions which i'm sure i messed up on). Whether you get the same answer as me, if you could still please post the way you did it, I'd really appreciate it (I always like to see a 2nd solution).

    It's late and I have a quiz and a presentation due tomorrow so I need to get working on those. I know some forums require you to do the work and not just post the questions. I did do the work but it would just take too much time to post that as well (so I hope my final answers are enough). This itself took me well over 1 hour to post.

    Q1. Allen owes Value Furniture $1600, which is scheduled to be paid on August 15. Allan has surplus funds on June 15 and will settle the debt early if Value Furniture will make an adjustment reflecting the current short-term simple interest rate of 7.25%. What amount should be acceptable for both parties?

    (My final answer was $1580.85 unsure if I did the formula correctly though...)



    Q2. If money earns 9.5% simple interest, calculate and compare the economic value today of the following payment streams:

    (a) Payment of $900 and $1400 due 150 and 80 days ago, respectively.

    (b) Payments of $800, $600, and $1000 due 30, 75, and 125 days from now, respectively.

    (My final answer for (a) was $2364.29, unsure if I did the formula correctly...)

    (My final answer for (b) was $2350.80, unsure if I did the formula correctly...)



    Q3. A $100 000, 91-day Province of Ontario Treasury bill was issued 37 days ago. What will it sell at today in order to yield the purchaser 8.12%?

    (My final answer was $98,812.95, unsure if I did the formula correctly...)



    Q4. A company producing floral arrangements has fixed costs of $20 000 per month. Each floral arrangement sells for $12 and the variable costs are $5.6 per unit.



    (a) Determine the number of floral arrangements that must be sold to break even.

    (b) Determine the profit or loss if the monthly sales were 2000 units.

    (c) Determine the profit or loss if the monthly sales were 4000 units.

    (d) To generate a profit of $12 000, how many floral arrangements must be sold?



    (My final answer for (a) was $3125, unsure if I did the formula correctly...)

    (My final answer for (b) was $7200, unsure if I did the formula correctly...)

    (My final answer for (c) was $5600, unsure if I did the formula correctly...)

    (My final answer for (d) was $5000, unsure if I did the formula correctly...)



    Q5. Company has fixed costs of $60,000, varibale costs of $375/unit and a selling price of $425/unit. An increase in delivery costs added $30/unit to the variable costs of producing each unit. How is the breakeven volume affected? Consider current situation and situation after the VC increase.

    (My final answer was "from 1200 to 3000", unsure if I did the formula correctly...)



    Q6. A company produces chairs with monthly fixed costs of $25,000. Each chair costs of $65 to produce and sells for $115. Due to a rental increase, the fixed costs of the company increase by 15%. Determine how the increase in fixed costs affects the breakeven volume.

    (My final answer was "from 500 to 575", unsure if I did the formula correctly...)



    Q7. You are the general manager of a firm with fixed costs of $400 000 per quarter. Your variable costs are $80 per unit and your selling price is $105 per unit. Determine:

    (a) Your break-even volume (per quarter).

    (b) The volume at which your firm would lose $100,000 in the quarter.

    (c)The volume that would yield a quarterly profit of $175 000.

    (d) The firm currently operates at profit of $175 000 per quarter. It is considering increasing its fixed costs by $100 000 as this will decrease variable costs by $5 per unit. How much will this increase their profits?



    (My final answer for (a) was 16,000 units, unsure if I did the formula correctly...)

    (My final answer for (b) was 12 000 units, unsure if I did the formula correctly...)

    (My final answer for (c) was 23 000 units, unsure if I did the formula correctly...)

    (My final answer for (d) was $15,000, unsure if I did the formula correctly...)



    Q8. The sales revenue for 10 000 radios is $250 000. Fixed costs are $50 000 and the profit at this sales level is $40 000.

    Determine:



    (a) The variable costs per radio

    (b) The selling price per radio.

    (c) The contribution margin per radio.

    (d) The break-even sales volume.



    (My final answer for (a) was $16, unsure if I did the formula correctly...)

    (My final answer for (b) was $25, unsure if I did the formula correctly...)

    (My final answer for (c) was $9, unsure if I did the formula correctly...)

    (My final answer for (d) was 5,556 units, unsure if I did the formula correctly...)



    Q9. A company has variable costs of $6.00 per unit. Its fixed costs are $100 000. If the company sells its units at $8.00 each, how many units must it sell to break-even?



    (My final answer was 50 000 units, unsure if I did the formula correctly...)



    Q10. Genifax reported the following information for September:

    Sales $180,000

    Fixed manufucturing costs 22,000

    Fixed marketing and overhead costs 14,000

    Total variable costs 120,000

    Unit price 9



    (a) Determine the unit sales required to break-even.

    (b) What unit sales would generate a net income of $30 000?

    (c) What unit sales would generate a profit of 20% of the sales dollars?

    (d) What sales dollars are required to produce a profit of $20 000?

    (e) If unit variable costs are reduced by 10% with no change in the fixed costs, what will be the break-even sales volume?



    (My final answer for (a) was 12,000 units, unsure if I did the formula correctly...)

    (My final answer for (b) was 22,000 units, unsure if I did the formula correctly...)

    (My final answer for (c) was 30,000 units, unsure if I did the formula correctly...)

    (My final answer for (d) was $168,000, unsure if I did the formula correctly...)

    (My final answer for (e) was 10,000 units, unsure if I did the formula correctly...)



    Q11. An engineering firm is paid a flat figure of $40.00 per hour per person for its services. If the firm has fixed costs of $12 000 per month and the average salary in the firm is $28.00 per hour per person:



    (a) How many people must be employed to break-even if you assume a four week month and 40 hour work week.

    (b)How much profit would the firm show with twelve persons on staff?



    (My final answer for (a) was 6.25 men/month, unsure if I did the formula correctly...)

    (My final answer for (b) was $11,040/month, unsure if I did the formula correctly...)



    Q12. Variable cost is 72% of selling price and the fixed cost is $140 000. Calculate the break-even point in sales dollars.



    (My final answer was $500,000, unsure if I did the formula correctly...)



    Q13.A new company will have fixed costs of $120 000 and estimates that its variable costs will be sixty percent of sales.



    (a) What sales revenue must be sold to break-even?

    (b) If the variable costs increase to seventy percent of sales, what additional sales must be made to maintain a break-even position?

    (c) If the variable cost of sixty percent proves correct but the fixed cost increases to $140 000, what will be the break-even point?



    (My final answer for (a) was $300,000, unsure if I did the formula correctly...)

    (My final answer for (b) was $100,000, unsure if I did the formula correctly...)

    (My final answer for (c) was $350,000, unsure if I did the formula correctly...)



    Q14. With variable costs of sixty-four percent of sales and fixed costs of $90 000, a company is only making a profit of $10 800. In order to improve the situation the sales manager feels that an eith percent reduction in selling price would allow him to sell thirty percent more. If the company does increase its sales by thirty percent, how will this affect profit?



    (My final answer was $1120 increase, unsure if I did the formula correctly...)



    Q15. The profit picture of XYZ Company is considered poor. The situation is as follows:

    Variable cost is eighty-four percent of sales and fixed expenses are $40 000. A suggestion to improve the profit is to increase the contribution margin. If the contribution margin can be improved by six percent of sales by increasing fixed costs by $10 000, will the break-even point be lower? By how much sales revenue?



    (My final answer was "Yes to $22 727.27, unsure if I did the formula correctly...)



    Assume the sales are currently $300 000. Will the increase in contribution margin and the increase in fixed costs improve the current profit picture? By how much?



    (My final answer was "Yes by $8,000, unsure if I did the formula correctly...)



    Q16. With variable costs at 66% of sales and fixed costs of $40 000, Company ABC makes a profit of $19,000. By decreasing the selling price by 7%, Company ABC hopes to improve sales volume by 32%. Will this increase the profit or not? Justify with full mathematical solution.



    (My final answer was "Yes by $21,845.88, unsure if I did the formula correctly...)
    Last edited by 8Prodigy8; November 27th 2007 at 08:31 PM.
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