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Please answer no. 2 or both.. Using a graphical solution and excel... please... thank you so so much! A product sells at P12 per unit.
Please answer no. 2 or both.. Using a graphical solution and excel... please... thank you so so much!
A product sells at P12 per unit. Fixed cost is P40 and the variable cost per unit is P7.0 After observing that the sale of the product has begun to decline, its per unit selling price is decreased by 10% of units sold. Variable cost and fixed cost remain unchanged. Click to view the correct solution. 1. Represent the new selling price per unit HIDE ANSWER Let x = number of units sold New selling price = (12 @ 0.1x) per unit 2. Write the TR, TC and profit functions HIDE ANSWER TR=(12-0.1x)x=0 TR=12x 0.1x2 TC=7X+40 since P=TR-TC P=(12x-0.1x2)-(7x+40) P=12x-0.1x2-7x-40 P=5x-0.1x2-40 3. Find the break-even point quantity and revenue HIDE ANSWER At break-even point, profit = 0 0=5x-0.1x2-40 x2-50x+400=0 (x-10)(x-40)=0 factoring the quadratic trinomial Equating both factors to zero and solving for x: X-10=000 x = 10 break-even quantity X-40=000 x= 40 break even quantity solving for the break-even revenues: if x = 10 TR = 12(10) 0.1(10)2=110 If x=40TR = 12(40) 0.1(40)2 = 320 Therefore, there are two break-even points: (10,110) and (40,320). This means that selling less than 10 units as well as selling more than 40 units would mean a loss for the company. We can show this by substituting values in the profit functions such as x = 9 and x = 41. 4. Find the profit at a sale of 50 units HIDE ANSWER P=-0.1x2+5x-40 If x = 50 P = -0.1(50)2 + 5(50) @ 40 P=-40 (loss) Exercise Try This!! Click each item below to solve some exStep by Step Solution
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