HiDec produces two models of electronic gadgets that use resistors, capacitors, and chips. The following table summarizes

Question:

HiDec produces two models of electronic gadgets that use resistors, capacitors, and chips.

The following table summarizes the data of the situation:

Let x1 and x2 be the amounts produced of models 1 and 2, respectively. Following are the LP model and its associated optimal simplex tableau.
Maximize z = 3x1 + 4x2
Subject to
2x1 + 3x2 ‰¤ 1200
2x1 + x2 ‰¤ 1000
4x2 ‰¤ 800
X1, x2 ‰¥ 0

(a) Determine the status of each resource.
(b) In terms of the optimal revenue, determine the dual prices for the resistors, capacitors, and chips.
(c) Determine the feasibility ranges for the dual prices obtained in (b).

(d) If the available number of resistors is increased to 1300 units, find the new optimum solution.

(e) If the available number of chips is reduced to 350 units, will you be able to determine the new optimum solution directly from the given information? Explain.

(f) If the availability of capacitors is limited by the feasibility range computed in (c), determine the corresponding range of the optimal revenue and the corresponding ranges for the numbers of units to be produced of Models 1 and 2.

(g) A new contractor is offering to sell HiDec additional resistors at 40 cents each, but only if HiDec would purchase at least 500 units. Should HiDec accept the offer?