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leonid [27]
3 years ago
13

Which of the following options is a better purchase for a bicycle?

Business
1 answer:
Bess [88]3 years ago
6 0

Answer:

Option 3: $12 down with equal payments of $5 for 12 months

Explanation:

In option 1 :

The cost is $ 88,

In option 2 :

Down payment = $ 5,

Weekly payment = $ 8,

Number of weeks = 10,

So, the total cost = 5 + 8 × 10 = 5 + 80 = $ 85,

In option 3 :

Down payment = $ 12,

Monthly payment = $ 5,

Number of months = 12,

So, the total cost = 12 + 5 × 12 = 12 + 60 = $ 72,

In option 4 :

Down payment = $ 20,

Monthly payment = $ 20,

Number of months = 12,

So, the total cost = 12 + 20 × 12 = 12 + 240= $ 252

∵ 72 < 85 < 88 < 252

Hence, option 3 is better.

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3. A company manufactures two types of products: A and B. Three resources R1, R2, and R3 are required to make these products. a.
mojhsa [17]

Answer:

(i)The units of production of Product A and B (x and y) are the decision variables

(ii)Objective is to maximize profit

(iii)Objective function, Max P=20x+50y

(iv)The Contraints are:

8x+2y\leq500....(i)

2x+5y\leq400.......(ii)

3y\leq180

x>0, y>0

Explanation:

Let the number of Product A=x

Let the number of Product B=y

Each unit of product A requires 8 units of R1 and 4 units of R2.

Each unit of product B requires 2 units of R1, 5 units of R2, and 3 units of R3

The availabilities of resources R1, R2, and R3 are 500, 400, and 180

Since R1 \leq500,

Product A requires 8 units of R1 per production unit

Product B requires 2 units of R1 per production unit

Total Unit of R1 possible is given by the inequality: 8x+2y\leq500....(i)

Since R2 \leq400,

Product A requires 2 units of R2 per production unit

Product B requires 5 units of R2 per production unit

Total Unit of R2 possible is given by the inequality: 2x+5y\leq400....(ii)

Since R3 \leq180,

Product B requires 3 units of R2 per production unit

Total Unit of R2 possible is given by the inequality: 3y\leq180....(iii)

Since the manufacturer also makes a profit of $20 and $50 for products A and B, our objective is to maximize profit

Therefore: Objective function, Max P=20x+50y ......(iv)

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Answer:

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