Question

Last year, Pinwheel industries introduced a new toy. It costs $7400 to develop the new toy and $35 to manufacture each toy. With $45900, how many toys can be produced?

Answer 1

With $45900, Pinwheel industries can produce 1200 toys.

Explanation

To determine the number of toys that can be produced with $45900, we'll subtract the development cost from the total budget to find the amount available for manufacturing.

`\(\text{Total budget} - \text{Development cost} = \text{Available budget for manufacturing}\)`

`\(45900 - 7400 = 38500\)`

Then, we'll divide the available budget for manufacturing by the cost to manufacture each toy to find the quantity of toys that can be produced:

`\(\text{Available budget for manufacturing} ÷ \text{Cost to manufacture each toy} = \text{Number of toys}\)`

`\(38500 ÷ 35 = 1100\)`

Therefore, with a budget of $45900, Pinwheel industries can produce 1100 toys.

Answer 2

The total cost to produce one toy is $7400 (development cost) + $35 (manufacturing cost) = $7435.

To find the number of toys that can be produced with $45900, divide the total budget by the cost per toy: $45900 / $7435 ≈ 6.17.

Since the number of toys must be a whole number, Pinwheel industries can produce a maximum of 6 toys with the given budget.

Step-by-step explanation:

The first step is to calculate the total cost per toy, which is the sum of the development cost and the manufacturing cost. This is expressed as $7400 + $35 = $7435.

The second step involves determining the maximum number of toys that can be produced with the given budget of $45900. This is done by dividing the total budget by the cost per toy: $45900 / $7435 ≈ 6.17.

The result from the division represents the maximum number of toys that could be produced. However, since the number of toys must be a whole number, we round down to the nearest whole number. Therefore, Pinwheel industries can produce a maximum of 6 toys with the given budget.