Custom Furniture Manufactures a Small Table and a Large Table

question 23

Multiple Choice

Custom Furniture manufactures a small table and a large table. The small table sells for $800, has variable costs of $520 per table, and takes eight direct labour hours to manufacture. The large table sells for $1 200, has variable costs of $720, and takes sixteen direct labour hours to manufacture. The company has a maximum of 4 800 direct labour hours per month when operating at full capacity. If there are no constraints on sales of either product, and the company could choose any proportions of product mix that they wanted, what is the optimum product mix to maximise profit?

• A)300 units of small, 200 units of large
• B)900 units of small, 100 units of large
• C)Zero units of small, 300 units of large
• D)600 units of small, zero units of large

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Definitions:

Binomial Coefficient

A quantifier showing the number of ways to choose a given number of items out of a larger set, regardless of order.

Partial Sum

The sum of a specified number of terms at the beginning of a sequence.

Rebounds

In sports, the act of successfully retrieving the ball after a missed shot.

Geometric Sequence

A numerical series where each number after the first is determined by multiplying the prior number by an unchanging, non-zero numerical value, denoted as the common ratio.