Question

Help please, pic attached will be much appreciated

Answer 1

Answer:

The company should make 0 jumbo and 300 regular biscuits.

The maximum income is $42.

Step-by-step explanation:

Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.

The oven can bake at most 300 biscuits.  So:

J + R ≤ 300

Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour.  There is 500 oz of flour available.  Therefore:

2J + R ≤ 500

Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14.  So the total income is:

I = 0.12J + 0.14R

Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:

desmos.com/calculator/aea00cmpwm

The region where the inequalities intersect has 4 corners:

(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)

Find the income at each point:

(0, 0): I = 0

(0, 300): I = 42

(250, 0): I = 30

(200, 100): I = 38

The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.