ANSWER THE FOLLOWINGProblem 1Each month a store owner can spend at most $ N on PC's and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $ M while laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC's. How many PC's and how many laptops should be sold in order to maximize the profit?Set PC = X1 ; Laptops =X2 ; Z=Profit(1) If the Profit Equation would be : Z = 400 x1 + 700 x2; What is the profit per unit (M) for PC computers?a. 400b. 1000c. 700d. none of these (2) “Least 15 PC's but no more than 80 are sold each month” means?a. 15 ≤ x1 ≤ 80b. 15 ≤ x1 ≥ 80c. 15 ≥ x1 ≥ 80d. 15 ≥ x1 ; x1 ≤ 80 (3) If the Owner can only spend ($ N) dollars; what would be the Equation if N=100,000?a. 1000 x1 + 1500 x2 ≤ 100,000b. 1500 x1 + 1000 x2 ≥ 100,000c. 1000 x1 + 1500 x2 ≥ 100,000d. 1000 x1 + 1500 x1 ≥ 100,000 (4) What would be the optimum value of X1 and X2?a. (57.14,28.57)b. (57.29,28.18)c. (28.57,57.29)d. (29.58,58.27) (5) What would be the maximum profit ($) ?a. 42,855b. 42,642c. 42,845d. 42,458

We have given conditions..by comparing these conditions we get first three questions answers... And…

Answered: PC costs the store owner $1000 and a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

ANSWER THE FOLLOWING

Problem 1

Each month a store owner can spend at most $ N on PC's and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $ M while laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC's. How many PC's and how many laptops should be sold in order to maximize the profit?

Set PC = X₁ ; Laptops =X₂; Z=Profit

(1) If the Profit Equation would be : Z = 400 x₁ + 700 x₂; What is the profit per unit (M) for PC computers?

a. 400

b. 1000

c. 700

d. none of these

(2) “Least 15 PC's but no more than 80 are sold each month” means?

a. 15 ≤ x1 ≤ 80

b. 15 ≤ x1 ≥ 80

c. 15 ≥ x1 ≥ 80

d. 15 ≥ x1 ; x1 ≤ 80

(3) If the Owner can only spend ($ N) dollars; what would be the Equation if N=100,000?