The daily demand of type I, type II and type III is respectively 600 loaves, 750 loaves and 500 loaves. The per unit cost to the bakery of the ingredient A,B,C and D is respectively #0.10, #0.07, #0.05 and #0.4 . If the bakery sells the bread for #0.60 for type I, #0.04 for type II and #0.05 for type III, using multiplication only, Determine the following, (1).The ingredients required to fill the daily order(2). the cost for each type of Bread(3). Cost of ingredient required to fill the order.(4). Revenue realized from filling this order and the resultant profit.

so, have you set up your matrices?

If the vectors are
D for demand (3x1)
C for cost
R for revenue,
I for ingredients (3xn)

#1. DTI (1xn)
and so on

Yes, I have set up the matrices. But your solution is not yet clear to me. Pls explain better Sir

The daily demand of type I, type II and type III is respectively 600 loaves, 750 loaves and 500 loaves. The per unit cost to the bakery of the ingredient A,B,C and D is respectively #0.10, #0.07, #0.05 and #0.04 . If the bakery sells the bread for #0.60 for type I, #0.04 for type II and #0.05 for type III, using multiplication only, Determine the following, (1).The ingredients required to fill the daily order(2). the cost for each type of Bread(3). Cost of ingredient required to fill the order.(4). Revenue realized from filling this order and the resultant profit.

The question is not complete what about the quantity of ingredients we need per bread type.This is from AGE-UI right?

Yes sir...From UI. Thought it was complete though. Thanks Peter

To find the answers, we need to perform some calculations using the given information. Let's break it down step by step:

(1) The ingredients required to fill the daily order:
To determine the ingredient quantities needed, we will multiply the daily demand of each bread type by the respective ingredient's unit cost:

Type I:
- Ingredient A: 600 loaves * #0.10 = #60
- Ingredient B: 600 loaves * #0.07 = #42
- Ingredient C: 600 loaves * #0.05 = #30
- Ingredient D: 600 loaves * #0.40 = #240

Type II:
- Ingredient A: 750 loaves * #0.10 = #75
- Ingredient B: 750 loaves * #0.07 = #52.50
- Ingredient C: 750 loaves * #0.05 = #37.50
- Ingredient D: 750 loaves * #0.40 = #300

Type III:
- Ingredient A: 500 loaves * #0.10 = #50
- Ingredient B: 500 loaves * #0.07 = #35
- Ingredient C: 500 loaves * #0.05 = #25
- Ingredient D: 500 loaves * #0.40 = #200

Therefore, the ingredients required to fill the daily order are as follows:

Type I:
- Ingredient A: #60
- Ingredient B: #42
- Ingredient C: #30
- Ingredient D: #240

Type II:
- Ingredient A: #75
- Ingredient B: #52.50
- Ingredient C: #37.50
- Ingredient D: #300

Type III:
- Ingredient A: #50
- Ingredient B: #35
- Ingredient C: #25
- Ingredient D: #200

(2) The cost for each type of bread:
To calculate the cost for each type of bread, we sum up the cost of ingredients required for each type:

Type I:
- Cost = #60 + #42 + #30 + #240 = #372

Type II:
- Cost = #75 + #52.50 + #37.50 + #300 = #465

Type III:
- Cost = #50 + #35 + #25 + #200 = #310

(3) Cost of ingredients required to fill the order:
To determine the total cost of ingredients required to fill the order, we sum up the costs of each type:

Total cost of ingredients = Cost of Type I + Cost of Type II + Cost of Type III
Total cost of ingredients = #372 + #465 + #310 = #1147

(4) Revenue realized from filling this order and the resultant profit:
To find the revenue and profit, we multiply the selling price by the daily demand for each type:

Type I:
- Revenue = 600 loaves * #0.60 = #360
- Profit = Revenue - Cost of Type I = #360 - #372 = (#12) loss

Type II:
- Revenue = 750 loaves * #0.04 = #30
- Profit = Revenue - Cost of Type II = #30 - #465 = (#435) loss

Type III:
- Revenue = 500 loaves * #0.05 = #25
- Profit = Revenue - Cost of Type III = #25 - #310 = (#285) loss

The total revenue realized from filling this order = Revenue from Type I + Revenue from Type II + Revenue from Type III
Total revenue = #360 + #30 + #25 = #415

Total resultant profit = Total revenue - Total cost of ingredients
Total profit = #415 - #1147 = (#732) loss

Therefore, the bakery would have a loss of #732 from filling this order.